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Finding the Third Proportional to 101,854.13 and 149,659.88

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Solution

The third proportional to 101,854.13 and 149,659.88 is: 219,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,854.13 : 149,659.88 = 149,659.88 : x
  2. Step 2: Convert to fraction form
    101,854.13/149,659.88 = 149,659.88/x
  3. Step 3: Cross multiply
    101,854.13x = 149,659.88 × 149,659.88
  4. Step 4: Simplify right side
    101,854.13x = 22,398,078,185.02
  5. Step 5: Solve for x
    x = 22,398,078,185.02/101,854.13
  6. Step 6: Final answer
    x = 219,903.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.