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Finding the Third Proportional to 109,697.63 and 163,829.25

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Solution

The third proportional to 109,697.63 and 163,829.25 is: 244,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,697.63 : 163,829.25 = 163,829.25 : x
  2. Step 2: Convert to fraction form
    109,697.63/163,829.25 = 163,829.25/x
  3. Step 3: Cross multiply
    109,697.63x = 163,829.25 × 163,829.25
  4. Step 4: Simplify right side
    109,697.63x = 26,840,023,155.56
  5. Step 5: Solve for x
    x = 26,840,023,155.56/109,697.63
  6. Step 6: Final answer
    x = 244,672.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.