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Finding the Third Proportional to 125,456,728.50 and 271,760,487.75

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Solution

The third proportional to 125,456,728.50 and 271,760,487.75 is: 588,679,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,456,728.50 : 271,760,487.75 = 271,760,487.75 : x
  2. Step 2: Convert to fraction form
    125,456,728.50/271,760,487.75 = 271,760,487.75/x
  3. Step 3: Cross multiply
    125,456,728.50x = 271,760,487.75 × 271,760,487.75
  4. Step 4: Simplify right side
    125,456,728.50x = 73,853,762,702,117,904
  5. Step 5: Solve for x
    x = 73,853,762,702,117,904/125,456,728.50
  6. Step 6: Final answer
    x = 588,679,169.19

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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.