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Finding the Third Proportional to 44,836.88 and 96,113.25

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Solution

The third proportional to 44,836.88 and 96,113.25 is: 206,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,836.88 : 96,113.25 = 96,113.25 : x
  2. Step 2: Convert to fraction form
    44,836.88/96,113.25 = 96,113.25/x
  3. Step 3: Cross multiply
    44,836.88x = 96,113.25 × 96,113.25
  4. Step 4: Simplify right side
    44,836.88x = 9,237,756,825.56
  5. Step 5: Solve for x
    x = 9,237,756,825.56/44,836.88
  6. Step 6: Final answer
    x = 206,030.35

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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.