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Finding the Third Proportional to 44,710.31 and 97,120.69

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Solution

The third proportional to 44,710.31 and 97,120.69 is: 210,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,710.31 : 97,120.69 = 97,120.69 : x
  2. Step 2: Convert to fraction form
    44,710.31/97,120.69 = 97,120.69/x
  3. Step 3: Cross multiply
    44,710.31x = 97,120.69 × 97,120.69
  4. Step 4: Simplify right side
    44,710.31x = 9,432,427,940.47
  5. Step 5: Solve for x
    x = 9,432,427,940.47/44,710.31
  6. Step 6: Final answer
    x = 210,967.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.