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Finding the Third Proportional to 118,221.47 and 165,888.19

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Solution

The third proportional to 118,221.47 and 165,888.19 is: 232,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,221.47 : 165,888.19 = 165,888.19 : x
  2. Step 2: Convert to fraction form
    118,221.47/165,888.19 = 165,888.19/x
  3. Step 3: Cross multiply
    118,221.47x = 165,888.19 × 165,888.19
  4. Step 4: Simplify right side
    118,221.47x = 27,518,890,752.04
  5. Step 5: Solve for x
    x = 27,518,890,752.04/118,221.47
  6. Step 6: Final answer
    x = 232,774.06

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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.