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Finding the Third Proportional to 110,702.32 and 229,281.26

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Solution

The third proportional to 110,702.32 and 229,281.26 is: 474,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,702.32 : 229,281.26 = 229,281.26 : x
  2. Step 2: Convert to fraction form
    110,702.32/229,281.26 = 229,281.26/x
  3. Step 3: Cross multiply
    110,702.32x = 229,281.26 × 229,281.26
  4. Step 4: Simplify right side
    110,702.32x = 52,569,895,184.08
  5. Step 5: Solve for x
    x = 52,569,895,184.08/110,702.32
  6. Step 6: Final answer
    x = 474,876.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.