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Finding the Third Proportional to 159,536,869.31 and 347,026,059

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Solution

The third proportional to 159,536,869.31 and 347,026,059 is: 754,854,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536,869.31 : 347,026,059 = 347,026,059 : x
  2. Step 2: Convert to fraction form
    159,536,869.31/347,026,059 = 347,026,059/x
  3. Step 3: Cross multiply
    159,536,869.31x = 347,026,059 × 347,026,059
  4. Step 4: Simplify right side
    159,536,869.31x = 120,427,085,625,071,488
  5. Step 5: Solve for x
    x = 120,427,085,625,071,488/159,536,869.31
  6. Step 6: Final answer
    x = 754,854,261.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.