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Finding the Third Proportional to 250,806,989.25 and 524,482,549.88

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Solution

The third proportional to 250,806,989.25 and 524,482,549.88 is: 1,096,787,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,806,989.25 : 524,482,549.88 = 524,482,549.88 : x
  2. Step 2: Convert to fraction form
    250,806,989.25/524,482,549.88 = 524,482,549.88/x
  3. Step 3: Cross multiply
    250,806,989.25x = 524,482,549.88 × 524,482,549.88
  4. Step 4: Simplify right side
    250,806,989.25x = 275,081,945,123,381,856
  5. Step 5: Solve for x
    x = 275,081,945,123,381,856/250,806,989.25
  6. Step 6: Final answer
    x = 1,096,787,397.93

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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.