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Finding the Third Proportional to 129,205,260 and 193,902,387

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Solution

The third proportional to 129,205,260 and 193,902,387 is: 290,995,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,260 : 193,902,387 = 193,902,387 : x
  2. Step 2: Convert to fraction form
    129,205,260/193,902,387 = 193,902,387/x
  3. Step 3: Cross multiply
    129,205,260x = 193,902,387 × 193,902,387
  4. Step 4: Simplify right side
    129,205,260x = 37,598,135,684,297,768
  5. Step 5: Solve for x
    x = 37,598,135,684,297,768/129,205,260
  6. Step 6: Final answer
    x = 290,995,395.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.