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Finding the Third Proportional to 101,920 and 149,881.50

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Solution

The third proportional to 101,920 and 149,881.50 is: 220,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,920 : 149,881.50 = 149,881.50 : x
  2. Step 2: Convert to fraction form
    101,920/149,881.50 = 149,881.50/x
  3. Step 3: Cross multiply
    101,920x = 149,881.50 × 149,881.50
  4. Step 4: Simplify right side
    101,920x = 22,464,464,042.25
  5. Step 5: Solve for x
    x = 22,464,464,042.25/101,920
  6. Step 6: Final answer
    x = 220,412.72

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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.