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Finding the Third Proportional to 185,857,638.75 and 290,098,032.19

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Solution

The third proportional to 185,857,638.75 and 290,098,032.19 is: 452,802,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,857,638.75 : 290,098,032.19 = 290,098,032.19 : x
  2. Step 2: Convert to fraction form
    185,857,638.75/290,098,032.19 = 290,098,032.19/x
  3. Step 3: Cross multiply
    185,857,638.75x = 290,098,032.19 × 290,098,032.19
  4. Step 4: Simplify right side
    185,857,638.75x = 84,156,868,279,059,792
  5. Step 5: Solve for x
    x = 84,156,868,279,059,792/185,857,638.75
  6. Step 6: Final answer
    x = 452,802,848.70

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.