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Finding the Third Proportional to 129,509,862 and 199,266,916.50

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Solution

The third proportional to 129,509,862 and 199,266,916.50 is: 306,596,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,509,862 : 199,266,916.50 = 199,266,916.50 : x
  2. Step 2: Convert to fraction form
    129,509,862/199,266,916.50 = 199,266,916.50/x
  3. Step 3: Cross multiply
    129,509,862x = 199,266,916.50 × 199,266,916.50
  4. Step 4: Simplify right side
    129,509,862x = 39,707,304,011,417,976
  5. Step 5: Solve for x
    x = 39,707,304,011,417,976/129,509,862
  6. Step 6: Final answer
    x = 306,596,759.49

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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.