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Finding the Third Proportional to 215,055 and 465,102

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Solution

The third proportional to 215,055 and 465,102 is: 1,005,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,055 : 465,102 = 465,102 : x
  2. Step 2: Convert to fraction form
    215,055/465,102 = 465,102/x
  3. Step 3: Cross multiply
    215,055x = 465,102 × 465,102
  4. Step 4: Simplify right side
    215,055x = 216,319,870,404
  5. Step 5: Solve for x
    x = 216,319,870,404/215,055
  6. Step 6: Final answer
    x = 1,005,881.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.