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Finding the Third Proportional to 109,711.13 and 163,848.94

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Solution

The third proportional to 109,711.13 and 163,848.94 is: 244,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,711.13 : 163,848.94 = 163,848.94 : x
  2. Step 2: Convert to fraction form
    109,711.13/163,848.94 = 163,848.94/x
  3. Step 3: Cross multiply
    109,711.13x = 163,848.94 × 163,848.94
  4. Step 4: Simplify right side
    109,711.13x = 26,846,474,319.88
  5. Step 5: Solve for x
    x = 26,846,474,319.88/109,711.13
  6. Step 6: Final answer
    x = 244,701.48

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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.