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Finding the Third Proportional to 100,890.56 and 151,575.05

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Solution

The third proportional to 100,890.56 and 151,575.05 is: 227,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,890.56 : 151,575.05 = 151,575.05 : x
  2. Step 2: Convert to fraction form
    100,890.56/151,575.05 = 151,575.05/x
  3. Step 3: Cross multiply
    100,890.56x = 151,575.05 × 151,575.05
  4. Step 4: Simplify right side
    100,890.56x = 22,974,994,835.16
  5. Step 5: Solve for x
    x = 22,974,994,835.16/100,890.56
  6. Step 6: Final answer
    x = 227,721.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.