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Finding the Third Proportional to 250,807,083.75 and 524,482,732.13

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Solution

The third proportional to 250,807,083.75 and 524,482,732.13 is: 1,096,787,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,807,083.75 : 524,482,732.13 = 524,482,732.13 : x
  2. Step 2: Convert to fraction form
    250,807,083.75/524,482,732.13 = 524,482,732.13/x
  3. Step 3: Cross multiply
    250,807,083.75x = 524,482,732.13 × 524,482,732.13
  4. Step 4: Simplify right side
    250,807,083.75x = 275,082,136,297,304,512
  5. Step 5: Solve for x
    x = 275,082,136,297,304,512/250,807,083.75
  6. Step 6: Final answer
    x = 1,096,787,746.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.