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Finding the Third Proportional to 83,178,288 and 185,482,008

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Solution

The third proportional to 83,178,288 and 185,482,008 is: 413,612,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,288 : 185,482,008 = 185,482,008 : x
  2. Step 2: Convert to fraction form
    83,178,288/185,482,008 = 185,482,008/x
  3. Step 3: Cross multiply
    83,178,288x = 185,482,008 × 185,482,008
  4. Step 4: Simplify right side
    83,178,288x = 34,403,575,291,712,064
  5. Step 5: Solve for x
    x = 34,403,575,291,712,064/83,178,288
  6. Step 6: Final answer
    x = 413,612,447.66

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.