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Finding the Third Proportional to 109,045.13 and 164,113.88

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Solution

The third proportional to 109,045.13 and 164,113.88 is: 246,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,045.13 : 164,113.88 = 164,113.88 : x
  2. Step 2: Convert to fraction form
    109,045.13/164,113.88 = 164,113.88/x
  3. Step 3: Cross multiply
    109,045.13x = 164,113.88 × 164,113.88
  4. Step 4: Simplify right side
    109,045.13x = 26,933,363,967.52
  5. Step 5: Solve for x
    x = 26,933,363,967.52/109,045.13
  6. Step 6: Final answer
    x = 246,992.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.