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Finding the Third Proportional to 101,011.88 and 150,641.63

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Solution

The third proportional to 101,011.88 and 150,641.63 is: 224,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,011.88 : 150,641.63 = 150,641.63 : x
  2. Step 2: Convert to fraction form
    101,011.88/150,641.63 = 150,641.63/x
  3. Step 3: Cross multiply
    101,011.88x = 150,641.63 × 150,641.63
  4. Step 4: Simplify right side
    101,011.88x = 22,692,899,182.64
  5. Step 5: Solve for x
    x = 22,692,899,182.64/101,011.88
  6. Step 6: Final answer
    x = 224,655.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.