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Finding the Third Proportional to 96,309.56 and 207,442.13

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Solution

The third proportional to 96,309.56 and 207,442.13 is: 446,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,309.56 : 207,442.13 = 207,442.13 : x
  2. Step 2: Convert to fraction form
    96,309.56/207,442.13 = 207,442.13/x
  3. Step 3: Cross multiply
    96,309.56x = 207,442.13 × 207,442.13
  4. Step 4: Simplify right side
    96,309.56x = 43,032,235,224.52
  5. Step 5: Solve for x
    x = 43,032,235,224.52/96,309.56
  6. Step 6: Final answer
    x = 446,811.66

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Why These Related Problems?

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