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Finding the Third Proportional to 100,383.75 and 151,426.13

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Solution

The third proportional to 100,383.75 and 151,426.13 is: 228,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,383.75 : 151,426.13 = 151,426.13 : x
  2. Step 2: Convert to fraction form
    100,383.75/151,426.13 = 151,426.13/x
  3. Step 3: Cross multiply
    100,383.75x = 151,426.13 × 151,426.13
  4. Step 4: Simplify right side
    100,383.75x = 22,929,871,332.52
  5. Step 5: Solve for x
    x = 22,929,871,332.52/100,383.75
  6. Step 6: Final answer
    x = 228,422.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.