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Finding the Third Proportional to 106,748 and 229,991

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Solution

The third proportional to 106,748 and 229,991 is: 495,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,748 : 229,991 = 229,991 : x
  2. Step 2: Convert to fraction form
    106,748/229,991 = 229,991/x
  3. Step 3: Cross multiply
    106,748x = 229,991 × 229,991
  4. Step 4: Simplify right side
    106,748x = 52,895,860,081
  5. Step 5: Solve for x
    x = 52,895,860,081/106,748
  6. Step 6: Final answer
    x = 495,520.85

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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.