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Finding the Third Proportional to 103,693 and 222,127

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Solution

The third proportional to 103,693 and 222,127 is: 475,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693 : 222,127 = 222,127 : x
  2. Step 2: Convert to fraction form
    103,693/222,127 = 222,127/x
  3. Step 3: Cross multiply
    103,693x = 222,127 × 222,127
  4. Step 4: Simplify right side
    103,693x = 49,340,404,129
  5. Step 5: Solve for x
    x = 49,340,404,129/103,693
  6. Step 6: Final answer
    x = 475,831.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.