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Finding the Third Proportional to 45,446 and 97,210

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Solution

The third proportional to 45,446 and 97,210 is: 207,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,446 : 97,210 = 97,210 : x
  2. Step 2: Convert to fraction form
    45,446/97,210 = 97,210/x
  3. Step 3: Cross multiply
    45,446x = 97,210 × 97,210
  4. Step 4: Simplify right side
    45,446x = 9,449,784,100
  5. Step 5: Solve for x
    x = 9,449,784,100/45,446
  6. Step 6: Final answer
    x = 207,934.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.