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Finding the Third Proportional to 99,798.75 and 150,734.25

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Solution

The third proportional to 99,798.75 and 150,734.25 is: 227,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,798.75 : 150,734.25 = 150,734.25 : x
  2. Step 2: Convert to fraction form
    99,798.75/150,734.25 = 150,734.25/x
  3. Step 3: Cross multiply
    99,798.75x = 150,734.25 × 150,734.25
  4. Step 4: Simplify right side
    99,798.75x = 22,720,814,123.06
  5. Step 5: Solve for x
    x = 22,720,814,123.06/99,798.75
  6. Step 6: Final answer
    x = 227,666.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.