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Finding the Third Proportional to 83,672,503.03 and 180,789,725.25

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Solution

The third proportional to 83,672,503.03 and 180,789,725.25 is: 390,629,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672,503.03 : 180,789,725.25 = 180,789,725.25 : x
  2. Step 2: Convert to fraction form
    83,672,503.03/180,789,725.25 = 180,789,725.25/x
  3. Step 3: Cross multiply
    83,672,503.03x = 180,789,725.25 × 180,789,725.25
  4. Step 4: Simplify right side
    83,672,503.03x = 32,684,924,755,970,488
  5. Step 5: Solve for x
    x = 32,684,924,755,970,488/83,672,503.03
  6. Step 6: Final answer
    x = 390,629,221.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.