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Finding the Third Proportional to 45,230.63 and 96,685.95

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Solution

The third proportional to 45,230.63 and 96,685.95 is: 206,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,230.63 : 96,685.95 = 96,685.95 : x
  2. Step 2: Convert to fraction form
    45,230.63/96,685.95 = 96,685.95/x
  3. Step 3: Cross multiply
    45,230.63x = 96,685.95 × 96,685.95
  4. Step 4: Simplify right side
    45,230.63x = 9,348,172,020.97
  5. Step 5: Solve for x
    x = 9,348,172,020.97/45,230.63
  6. Step 6: Final answer
    x = 206,677.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.