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Finding the Third Proportional to 44,413 and 96,659

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Solution

The third proportional to 44,413 and 96,659 is: 210,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,413 : 96,659 = 96,659 : x
  2. Step 2: Convert to fraction form
    44,413/96,659 = 96,659/x
  3. Step 3: Cross multiply
    44,413x = 96,659 × 96,659
  4. Step 4: Simplify right side
    44,413x = 9,342,962,281
  5. Step 5: Solve for x
    x = 9,342,962,281/44,413
  6. Step 6: Final answer
    x = 210,365.48

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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.