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Finding the Third Proportional to 102,873,474 and 156,721,970

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Solution

The third proportional to 102,873,474 and 156,721,970 is: 238,757,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,873,474 : 156,721,970 = 156,721,970 : x
  2. Step 2: Convert to fraction form
    102,873,474/156,721,970 = 156,721,970/x
  3. Step 3: Cross multiply
    102,873,474x = 156,721,970 × 156,721,970
  4. Step 4: Simplify right side
    102,873,474x = 24,561,775,880,680,900
  5. Step 5: Solve for x
    x = 24,561,775,880,680,900/102,873,474
  6. Step 6: Final answer
    x = 238,757,134.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.