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Finding the Third Proportional to 44,705 and 97,099

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Solution

The third proportional to 44,705 and 97,099 is: 210,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,705 : 97,099 = 97,099 : x
  2. Step 2: Convert to fraction form
    44,705/97,099 = 97,099/x
  3. Step 3: Cross multiply
    44,705x = 97,099 × 97,099
  4. Step 4: Simplify right side
    44,705x = 9,428,215,801
  5. Step 5: Solve for x
    x = 9,428,215,801/44,705
  6. Step 6: Final answer
    x = 210,898.46

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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.