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Finding the Third Proportional to 118,011.19 and 177,996.47

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Solution

The third proportional to 118,011.19 and 177,996.47 is: 268,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,011.19 : 177,996.47 = 177,996.47 : x
  2. Step 2: Convert to fraction form
    118,011.19/177,996.47 = 177,996.47/x
  3. Step 3: Cross multiply
    118,011.19x = 177,996.47 × 177,996.47
  4. Step 4: Simplify right side
    118,011.19x = 31,682,742,887.47
  5. Step 5: Solve for x
    x = 31,682,742,887.47/118,011.19
  6. Step 6: Final answer
    x = 268,472.37

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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.