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Finding the Third Proportional to 99,159.94 and 144,586.13

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Solution

The third proportional to 99,159.94 and 144,586.13 is: 210,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,159.94 : 144,586.13 = 144,586.13 : x
  2. Step 2: Convert to fraction form
    99,159.94/144,586.13 = 144,586.13/x
  3. Step 3: Cross multiply
    99,159.94x = 144,586.13 × 144,586.13
  4. Step 4: Simplify right side
    99,159.94x = 20,905,147,542.52
  5. Step 5: Solve for x
    x = 20,905,147,542.52/99,159.94
  6. Step 6: Final answer
    x = 210,822.52

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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.