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Finding the Third Proportional to 98,750 and 216,806

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Solution

The third proportional to 98,750 and 216,806 is: 475,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,750 : 216,806 = 216,806 : x
  2. Step 2: Convert to fraction form
    98,750/216,806 = 216,806/x
  3. Step 3: Cross multiply
    98,750x = 216,806 × 216,806
  4. Step 4: Simplify right side
    98,750x = 47,004,841,636
  5. Step 5: Solve for x
    x = 47,004,841,636/98,750
  6. Step 6: Final answer
    x = 475,998.40

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