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Finding the Third Proportional to 97,640.44 and 148,100.91

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Solution

The third proportional to 97,640.44 and 148,100.91 is: 224,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,640.44 : 148,100.91 = 148,100.91 : x
  2. Step 2: Convert to fraction form
    97,640.44/148,100.91 = 148,100.91/x
  3. Step 3: Cross multiply
    97,640.44x = 148,100.91 × 148,100.91
  4. Step 4: Simplify right side
    97,640.44x = 21,933,878,432.07
  5. Step 5: Solve for x
    x = 21,933,878,432.07/97,640.44
  6. Step 6: Final answer
    x = 224,639.29

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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.