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Finding the Third Proportional to 97,818.75 and 148,781.81

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Solution

The third proportional to 97,818.75 and 148,781.81 is: 226,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,818.75 : 148,781.81 = 148,781.81 : x
  2. Step 2: Convert to fraction form
    97,818.75/148,781.81 = 148,781.81/x
  3. Step 3: Cross multiply
    97,818.75x = 148,781.81 × 148,781.81
  4. Step 4: Simplify right side
    97,818.75x = 22,136,027,730.79
  5. Step 5: Solve for x
    x = 22,136,027,730.79/97,818.75
  6. Step 6: Final answer
    x = 226,296.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.