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Finding the Third Proportional to 213,328,912,686.76 and 308,223,439,467.76

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Solution

The third proportional to 213,328,912,686.76 and 308,223,439,467.76 is: 445,329,643,510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328,912,686.76 : 308,223,439,467.76 = 308,223,439,467.76 : x
  2. Step 2: Convert to fraction form
    213,328,912,686.76/308,223,439,467.76 = 308,223,439,467.76/x
  3. Step 3: Cross multiply
    213,328,912,686.76x = 308,223,439,467.76 × 308,223,439,467.76
  4. Step 4: Simplify right side
    213,328,912,686.76x = 95,001,688,637,335,914,151,936
  5. Step 5: Solve for x
    x = 95,001,688,637,335,914,151,936/213,328,912,686.76
  6. Step 6: Final answer
    x = 445,329,643,510.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.