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Finding the Third Proportional to 98,550 and 215,996

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Solution

The third proportional to 98,550 and 215,996 is: 473,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,550 : 215,996 = 215,996 : x
  2. Step 2: Convert to fraction form
    98,550/215,996 = 215,996/x
  3. Step 3: Cross multiply
    98,550x = 215,996 × 215,996
  4. Step 4: Simplify right side
    98,550x = 46,654,272,016
  5. Step 5: Solve for x
    x = 46,654,272,016/98,550
  6. Step 6: Final answer
    x = 473,407.12

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