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Finding the Third Proportional to 98,635.50 and 215,727.94

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Solution

The third proportional to 98,635.50 and 215,727.94 is: 471,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,635.50 : 215,727.94 = 215,727.94 : x
  2. Step 2: Convert to fraction form
    98,635.50/215,727.94 = 215,727.94/x
  3. Step 3: Cross multiply
    98,635.50x = 215,727.94 × 215,727.94
  4. Step 4: Simplify right side
    98,635.50x = 46,538,543,018.00
  5. Step 5: Solve for x
    x = 46,538,543,018.00/98,635.50
  6. Step 6: Final answer
    x = 471,823.46

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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.