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Finding the Third Proportional to 46,990.13 and 103,326.75

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Solution

The third proportional to 46,990.13 and 103,326.75 is: 227,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,990.13 : 103,326.75 = 103,326.75 : x
  2. Step 2: Convert to fraction form
    46,990.13/103,326.75 = 103,326.75/x
  3. Step 3: Cross multiply
    46,990.13x = 103,326.75 × 103,326.75
  4. Step 4: Simplify right side
    46,990.13x = 10,676,417,265.56
  5. Step 5: Solve for x
    x = 10,676,417,265.56/46,990.13
  6. Step 6: Final answer
    x = 227,205.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.