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Finding the Third Proportional to 44,411 and 96,655

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Solution

The third proportional to 44,411 and 96,655 is: 210,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,411 : 96,655 = 96,655 : x
  2. Step 2: Convert to fraction form
    44,411/96,655 = 96,655/x
  3. Step 3: Cross multiply
    44,411x = 96,655 × 96,655
  4. Step 4: Simplify right side
    44,411x = 9,342,189,025
  5. Step 5: Solve for x
    x = 9,342,189,025/44,411
  6. Step 6: Final answer
    x = 210,357.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.