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Finding the Third Proportional to 96,415.13 and 207,646.88

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Solution

The third proportional to 96,415.13 and 207,646.88 is: 447,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,415.13 : 207,646.88 = 207,646.88 : x
  2. Step 2: Convert to fraction form
    96,415.13/207,646.88 = 207,646.88/x
  3. Step 3: Cross multiply
    96,415.13x = 207,646.88 × 207,646.88
  4. Step 4: Simplify right side
    96,415.13x = 43,117,224,697.27
  5. Step 5: Solve for x
    x = 43,117,224,697.27/96,415.13
  6. Step 6: Final answer
    x = 447,203.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.