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Finding the Third Proportional to 119,221,361,520 and 241,945,982,100

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Solution

The third proportional to 119,221,361,520 and 241,945,982,100 is: 491,001,423,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,221,361,520 : 241,945,982,100 = 241,945,982,100 : x
  2. Step 2: Convert to fraction form
    119,221,361,520/241,945,982,100 = 241,945,982,100/x
  3. Step 3: Cross multiply
    119,221,361,520x = 241,945,982,100 × 241,945,982,100
  4. Step 4: Simplify right side
    119,221,361,520x = 58,537,858,254,333,521,428,480
  5. Step 5: Solve for x
    x = 58,537,858,254,333,521,428,480/119,221,361,520
  6. Step 6: Final answer
    x = 491,001,423,805.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.