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Finding the Third Proportional to 97,103.25 and 149,050.13

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Solution

The third proportional to 97,103.25 and 149,050.13 is: 228,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,103.25 : 149,050.13 = 149,050.13 : x
  2. Step 2: Convert to fraction form
    97,103.25/149,050.13 = 149,050.13/x
  3. Step 3: Cross multiply
    97,103.25x = 149,050.13 × 149,050.13
  4. Step 4: Simplify right side
    97,103.25x = 22,215,939,762.52
  5. Step 5: Solve for x
    x = 22,215,939,762.52/97,103.25
  6. Step 6: Final answer
    x = 228,786.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.