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Finding the Third Proportional to 99,160.31 and 144,586.69

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Solution

The third proportional to 99,160.31 and 144,586.69 is: 210,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,160.31 : 144,586.69 = 144,586.69 : x
  2. Step 2: Convert to fraction form
    99,160.31/144,586.69 = 144,586.69/x
  3. Step 3: Cross multiply
    99,160.31x = 144,586.69 × 144,586.69
  4. Step 4: Simplify right side
    99,160.31x = 20,905,310,202.22
  5. Step 5: Solve for x
    x = 20,905,310,202.22/99,160.31
  6. Step 6: Final answer
    x = 210,823.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.