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Finding the Third Proportional to 99,748 and 218,264

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Solution

The third proportional to 99,748 and 218,264 is: 477,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,748 : 218,264 = 218,264 : x
  2. Step 2: Convert to fraction form
    99,748/218,264 = 218,264/x
  3. Step 3: Cross multiply
    99,748x = 218,264 × 218,264
  4. Step 4: Simplify right side
    99,748x = 47,639,173,696
  5. Step 5: Solve for x
    x = 47,639,173,696/99,748
  6. Step 6: Final answer
    x = 477,595.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.