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Finding the Third Proportional to 149,023,500 and 325,748,952

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Solution

The third proportional to 149,023,500 and 325,748,952 is: 712,051,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,023,500 : 325,748,952 = 325,748,952 : x
  2. Step 2: Convert to fraction form
    149,023,500/325,748,952 = 325,748,952/x
  3. Step 3: Cross multiply
    149,023,500x = 325,748,952 × 325,748,952
  4. Step 4: Simplify right side
    149,023,500x = 106,112,379,729,098,304
  5. Step 5: Solve for x
    x = 106,112,379,729,098,304/149,023,500
  6. Step 6: Final answer
    x = 712,051,318.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.