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Finding the Third Proportional to 98,468.44 and 109,540.13

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Solution

The third proportional to 98,468.44 and 109,540.13 is: 121,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,468.44 : 109,540.13 = 109,540.13 : x
  2. Step 2: Convert to fraction form
    98,468.44/109,540.13 = 109,540.13/x
  3. Step 3: Cross multiply
    98,468.44x = 109,540.13 × 109,540.13
  4. Step 4: Simplify right side
    98,468.44x = 11,999,038,985.02
  5. Step 5: Solve for x
    x = 11,999,038,985.02/98,468.44
  6. Step 6: Final answer
    x = 121,856.70

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.