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Finding the Third Proportional to 96,982,036 and 146,481,259

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Solution

The third proportional to 96,982,036 and 146,481,259 is: 221,244,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,982,036 : 146,481,259 = 146,481,259 : x
  2. Step 2: Convert to fraction form
    96,982,036/146,481,259 = 146,481,259/x
  3. Step 3: Cross multiply
    96,982,036x = 146,481,259 × 146,481,259
  4. Step 4: Simplify right side
    96,982,036x = 21,456,759,238,225,080
  5. Step 5: Solve for x
    x = 21,456,759,238,225,080/96,982,036
  6. Step 6: Final answer
    x = 221,244,677.09

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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.