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Finding the Third Proportional to 44,982 and 97,416

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Solution

The third proportional to 44,982 and 97,416 is: 210,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,982 : 97,416 = 97,416 : x
  2. Step 2: Convert to fraction form
    44,982/97,416 = 97,416/x
  3. Step 3: Cross multiply
    44,982x = 97,416 × 97,416
  4. Step 4: Simplify right side
    44,982x = 9,489,877,056
  5. Step 5: Solve for x
    x = 9,489,877,056/44,982
  6. Step 6: Final answer
    x = 210,970.55

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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.