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Finding the Third Proportional to 159,721,848 and 343,653,792

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Solution

The third proportional to 159,721,848 and 343,653,792 is: 739,397,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,721,848 : 343,653,792 = 343,653,792 : x
  2. Step 2: Convert to fraction form
    159,721,848/343,653,792 = 343,653,792/x
  3. Step 3: Cross multiply
    159,721,848x = 343,653,792 × 343,653,792
  4. Step 4: Simplify right side
    159,721,848x = 118,097,928,755,979,264
  5. Step 5: Solve for x
    x = 118,097,928,755,979,264/159,721,848
  6. Step 6: Final answer
    x = 739,397,460.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.