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Finding the Third Proportional to 98,989.13 and 216,685.88

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Solution

The third proportional to 98,989.13 and 216,685.88 is: 474,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,989.13 : 216,685.88 = 216,685.88 : x
  2. Step 2: Convert to fraction form
    98,989.13/216,685.88 = 216,685.88/x
  3. Step 3: Cross multiply
    98,989.13x = 216,685.88 × 216,685.88
  4. Step 4: Simplify right side
    98,989.13x = 46,952,768,424.52
  5. Step 5: Solve for x
    x = 46,952,768,424.52/98,989.13
  6. Step 6: Final answer
    x = 474,322.49

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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.