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Finding the Third Proportional to 97,098 and 211,764

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Solution

The third proportional to 97,098 and 211,764 is: 461,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098 : 211,764 = 211,764 : x
  2. Step 2: Convert to fraction form
    97,098/211,764 = 211,764/x
  3. Step 3: Cross multiply
    97,098x = 211,764 × 211,764
  4. Step 4: Simplify right side
    97,098x = 44,843,991,696
  5. Step 5: Solve for x
    x = 44,843,991,696/97,098
  6. Step 6: Final answer
    x = 461,842.59

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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.