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Finding the Third Proportional to 106,182,432 and 250,301,508.75

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Solution

The third proportional to 106,182,432 and 250,301,508.75 is: 590,030,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,182,432 : 250,301,508.75 = 250,301,508.75 : x
  2. Step 2: Convert to fraction form
    106,182,432/250,301,508.75 = 250,301,508.75/x
  3. Step 3: Cross multiply
    106,182,432x = 250,301,508.75 × 250,301,508.75
  4. Step 4: Simplify right side
    106,182,432x = 62,650,845,282,526,328
  5. Step 5: Solve for x
    x = 62,650,845,282,526,328/106,182,432
  6. Step 6: Final answer
    x = 590,030,234.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.