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Finding the Third Proportional to 129,509,772.75 and 199,266,760.13

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Solution

The third proportional to 129,509,772.75 and 199,266,760.13 is: 306,596,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,509,772.75 : 199,266,760.13 = 199,266,760.13 : x
  2. Step 2: Convert to fraction form
    129,509,772.75/199,266,760.13 = 199,266,760.13/x
  3. Step 3: Cross multiply
    129,509,772.75x = 199,266,760.13 × 199,266,760.13
  4. Step 4: Simplify right side
    129,509,772.75x = 39,707,241,690,714,288
  5. Step 5: Solve for x
    x = 39,707,241,690,714,288/129,509,772.75
  6. Step 6: Final answer
    x = 306,596,489.57

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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.