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Finding the Third Proportional to 92,117.25 and 195,304.92

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Solution

The third proportional to 92,117.25 and 195,304.92 is: 414,081.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,117.25 : 195,304.92 = 195,304.92 : x
  2. Step 2: Convert to fraction form
    92,117.25/195,304.92 = 195,304.92/x
  3. Step 3: Cross multiply
    92,117.25x = 195,304.92 × 195,304.92
  4. Step 4: Simplify right side
    92,117.25x = 38,144,012,508.60
  5. Step 5: Solve for x
    x = 38,144,012,508.60/92,117.25
  6. Step 6: Final answer
    x = 414,081.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.