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Finding the Third Proportional to 111,202.88 and 148,457.81

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Solution

The third proportional to 111,202.88 and 148,457.81 is: 198,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,202.88 : 148,457.81 = 148,457.81 : x
  2. Step 2: Convert to fraction form
    111,202.88/148,457.81 = 148,457.81/x
  3. Step 3: Cross multiply
    111,202.88x = 148,457.81 × 148,457.81
  4. Step 4: Simplify right side
    111,202.88x = 22,039,722,092.29
  5. Step 5: Solve for x
    x = 22,039,722,092.29/111,202.88
  6. Step 6: Final answer
    x = 198,193.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.