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Finding the Third Proportional to 129,304,567 and 193,767,705

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Solution

The third proportional to 129,304,567 and 193,767,705 is: 290,368,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,304,567 : 193,767,705 = 193,767,705 : x
  2. Step 2: Convert to fraction form
    129,304,567/193,767,705 = 193,767,705/x
  3. Step 3: Cross multiply
    129,304,567x = 193,767,705 × 193,767,705
  4. Step 4: Simplify right side
    129,304,567x = 37,545,923,500,967,024
  5. Step 5: Solve for x
    x = 37,545,923,500,967,024/129,304,567
  6. Step 6: Final answer
    x = 290,368,115.93

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Why These Related Problems?

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