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Finding the Third Proportional to 213,328,912,750 and 308,223,439,558

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Solution

The third proportional to 213,328,912,750 and 308,223,439,558 is: 445,329,643,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328,912,750 : 308,223,439,558 = 308,223,439,558 : x
  2. Step 2: Convert to fraction form
    213,328,912,750/308,223,439,558 = 308,223,439,558/x
  3. Step 3: Cross multiply
    213,328,912,750x = 308,223,439,558 × 308,223,439,558
  4. Step 4: Simplify right side
    213,328,912,750x = 95,001,688,692,964,078,911,488
  5. Step 5: Solve for x
    x = 95,001,688,692,964,078,911,488/213,328,912,750
  6. Step 6: Final answer
    x = 445,329,643,639.52

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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.