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Finding the Third Proportional to 44,614 and 99,070

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Solution

The third proportional to 44,614 and 99,070 is: 219,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,614 : 99,070 = 99,070 : x
  2. Step 2: Convert to fraction form
    44,614/99,070 = 99,070/x
  3. Step 3: Cross multiply
    44,614x = 99,070 × 99,070
  4. Step 4: Simplify right side
    44,614x = 9,814,864,900
  5. Step 5: Solve for x
    x = 9,814,864,900/44,614
  6. Step 6: Final answer
    x = 219,995.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.