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Finding the Third Proportional to 98,202.38 and 150,156.28

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Solution

The third proportional to 98,202.38 and 150,156.28 is: 229,596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,202.38 : 150,156.28 = 150,156.28 : x
  2. Step 2: Convert to fraction form
    98,202.38/150,156.28 = 150,156.28/x
  3. Step 3: Cross multiply
    98,202.38x = 150,156.28 × 150,156.28
  4. Step 4: Simplify right side
    98,202.38x = 22,546,908,798.83
  5. Step 5: Solve for x
    x = 22,546,908,798.83/98,202.38
  6. Step 6: Final answer
    x = 229,596.37

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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.