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Finding the Third Proportional to 100,010.81 and 146,067.19

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Solution

The third proportional to 100,010.81 and 146,067.19 is: 213,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,010.81 : 146,067.19 = 146,067.19 : x
  2. Step 2: Convert to fraction form
    100,010.81/146,067.19 = 146,067.19/x
  3. Step 3: Cross multiply
    100,010.81x = 146,067.19 × 146,067.19
  4. Step 4: Simplify right side
    100,010.81x = 21,335,623,264.16
  5. Step 5: Solve for x
    x = 21,335,623,264.16/100,010.81
  6. Step 6: Final answer
    x = 213,333.17

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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.