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Finding the Third Proportional to 100,463.63 and 136,438.59

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Solution

The third proportional to 100,463.63 and 136,438.59 is: 185,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,463.63 : 136,438.59 = 136,438.59 : x
  2. Step 2: Convert to fraction form
    100,463.63/136,438.59 = 136,438.59/x
  3. Step 3: Cross multiply
    100,463.63x = 136,438.59 × 136,438.59
  4. Step 4: Simplify right side
    100,463.63x = 18,615,489,864.48
  5. Step 5: Solve for x
    x = 18,615,489,864.48/100,463.63
  6. Step 6: Final answer
    x = 185,295.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.