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Finding the Third Proportional to 83,632.64 and 134,660.81

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Solution

The third proportional to 83,632.64 and 134,660.81 is: 216,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,632.64 : 134,660.81 = 134,660.81 : x
  2. Step 2: Convert to fraction form
    83,632.64/134,660.81 = 134,660.81/x
  3. Step 3: Cross multiply
    83,632.64x = 134,660.81 × 134,660.81
  4. Step 4: Simplify right side
    83,632.64x = 18,133,534,423.16
  5. Step 5: Solve for x
    x = 18,133,534,423.16/83,632.64
  6. Step 6: Final answer
    x = 216,823.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.