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Finding the Third Proportional to 98,907 and 216,769

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Solution

The third proportional to 98,907 and 216,769 is: 475,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,907 : 216,769 = 216,769 : x
  2. Step 2: Convert to fraction form
    98,907/216,769 = 216,769/x
  3. Step 3: Cross multiply
    98,907x = 216,769 × 216,769
  4. Step 4: Simplify right side
    98,907x = 46,988,799,361
  5. Step 5: Solve for x
    x = 46,988,799,361/98,907
  6. Step 6: Final answer
    x = 475,080.62

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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.