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Finding the Third Proportional to 45,312.75 and 96,454.13

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Solution

The third proportional to 45,312.75 and 96,454.13 is: 205,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312.75 : 96,454.13 = 96,454.13 : x
  2. Step 2: Convert to fraction form
    45,312.75/96,454.13 = 96,454.13/x
  3. Step 3: Cross multiply
    45,312.75x = 96,454.13 × 96,454.13
  4. Step 4: Simplify right side
    45,312.75x = 9,303,398,229.52
  5. Step 5: Solve for x
    x = 9,303,398,229.52/45,312.75
  6. Step 6: Final answer
    x = 205,315.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.