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Finding the Third Proportional to 83,904.19 and 117,310.78

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Solution

The third proportional to 83,904.19 and 117,310.78 is: 164,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,904.19 : 117,310.78 = 117,310.78 : x
  2. Step 2: Convert to fraction form
    83,904.19/117,310.78 = 117,310.78/x
  3. Step 3: Cross multiply
    83,904.19x = 117,310.78 × 117,310.78
  4. Step 4: Simplify right side
    83,904.19x = 13,761,819,397.49
  5. Step 5: Solve for x
    x = 13,761,819,397.49/83,904.19
  6. Step 6: Final answer
    x = 164,018.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.