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Finding the Third Proportional to 106,688 and 229,900

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Solution

The third proportional to 106,688 and 229,900 is: 495,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,688 : 229,900 = 229,900 : x
  2. Step 2: Convert to fraction form
    106,688/229,900 = 229,900/x
  3. Step 3: Cross multiply
    106,688x = 229,900 × 229,900
  4. Step 4: Simplify right side
    106,688x = 52,854,010,000
  5. Step 5: Solve for x
    x = 52,854,010,000/106,688
  6. Step 6: Final answer
    x = 495,407.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.