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Finding the Third Proportional to 98,746 and 216,798

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Solution

The third proportional to 98,746 and 216,798 is: 475,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,746 : 216,798 = 216,798 : x
  2. Step 2: Convert to fraction form
    98,746/216,798 = 216,798/x
  3. Step 3: Cross multiply
    98,746x = 216,798 × 216,798
  4. Step 4: Simplify right side
    98,746x = 47,001,372,804
  5. Step 5: Solve for x
    x = 47,001,372,804/98,746
  6. Step 6: Final answer
    x = 475,982.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.