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Finding the Third Proportional to 83,785.50 and 179,564.63

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Solution

The third proportional to 83,785.50 and 179,564.63 is: 384,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,785.50 : 179,564.63 = 179,564.63 : x
  2. Step 2: Convert to fraction form
    83,785.50/179,564.63 = 179,564.63/x
  3. Step 3: Cross multiply
    83,785.50x = 179,564.63 × 179,564.63
  4. Step 4: Simplify right side
    83,785.50x = 32,243,454,551.39
  5. Step 5: Solve for x
    x = 32,243,454,551.39/83,785.50
  6. Step 6: Final answer
    x = 384,833.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.