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Finding the Third Proportional to 129,205,992.38 and 198,598,559.06

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Solution

The third proportional to 129,205,992.38 and 198,598,559.06 is: 305,259,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,992.38 : 198,598,559.06 = 198,598,559.06 : x
  2. Step 2: Convert to fraction form
    129,205,992.38/198,598,559.06 = 198,598,559.06/x
  3. Step 3: Cross multiply
    129,205,992.38x = 198,598,559.06 × 198,598,559.06
  4. Step 4: Simplify right side
    129,205,992.38x = 39,441,387,661,701,304
  5. Step 5: Solve for x
    x = 39,441,387,661,701,304/129,205,992.38
  6. Step 6: Final answer
    x = 305,259,740.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.