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Finding the Third Proportional to 305,116,711.50 and 662,248,210.50

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Solution

The third proportional to 305,116,711.50 and 662,248,210.50 is: 1,437,393,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,116,711.50 : 662,248,210.50 = 662,248,210.50 : x
  2. Step 2: Convert to fraction form
    305,116,711.50/662,248,210.50 = 662,248,210.50/x
  3. Step 3: Cross multiply
    305,116,711.50x = 662,248,210.50 × 662,248,210.50
  4. Step 4: Simplify right side
    305,116,711.50x = 438,572,692,310,452,288
  5. Step 5: Solve for x
    x = 438,572,692,310,452,288/305,116,711.50
  6. Step 6: Final answer
    x = 1,437,393,219.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.