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Finding the Third Proportional to 101,233.13 and 151,291.13

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Solution

The third proportional to 101,233.13 and 151,291.13 is: 226,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,233.13 : 151,291.13 = 151,291.13 : x
  2. Step 2: Convert to fraction form
    101,233.13/151,291.13 = 151,291.13/x
  3. Step 3: Cross multiply
    101,233.13x = 151,291.13 × 151,291.13
  4. Step 4: Simplify right side
    101,233.13x = 22,889,004,503.77
  5. Step 5: Solve for x
    x = 22,889,004,503.77/101,233.13
  6. Step 6: Final answer
    x = 226,101.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.