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Finding the Third Proportional to 44,145 and 96,706.41

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Solution

The third proportional to 44,145 and 96,706.41 is: 211,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,145 : 96,706.41 = 96,706.41 : x
  2. Step 2: Convert to fraction form
    44,145/96,706.41 = 96,706.41/x
  3. Step 3: Cross multiply
    44,145x = 96,706.41 × 96,706.41
  4. Step 4: Simplify right side
    44,145x = 9,352,129,009.79
  5. Step 5: Solve for x
    x = 9,352,129,009.79/44,145
  6. Step 6: Final answer
    x = 211,850.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.