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Finding the Third Proportional to 83,270,598 and 180,442,092

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Solution

The third proportional to 83,270,598 and 180,442,092 is: 391,006,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270,598 : 180,442,092 = 180,442,092 : x
  2. Step 2: Convert to fraction form
    83,270,598/180,442,092 = 180,442,092/x
  3. Step 3: Cross multiply
    83,270,598x = 180,442,092 × 180,442,092
  4. Step 4: Simplify right side
    83,270,598x = 32,559,348,565,336,464
  5. Step 5: Solve for x
    x = 32,559,348,565,336,464/83,270,598
  6. Step 6: Final answer
    x = 391,006,541.89

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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.