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Finding the Third Proportional to 169,660,142,732 and 369,107,542,498

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Solution

The third proportional to 169,660,142,732 and 369,107,542,498 is: 803,019,352,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,660,142,732 : 369,107,542,498 = 369,107,542,498 : x
  2. Step 2: Convert to fraction form
    169,660,142,732/369,107,542,498 = 369,107,542,498/x
  3. Step 3: Cross multiply
    169,660,142,732x = 369,107,542,498 × 369,107,542,498
  4. Step 4: Simplify right side
    169,660,142,732x = 136,240,377,928,912,874,766,336
  5. Step 5: Solve for x
    x = 136,240,377,928,912,874,766,336/169,660,142,732
  6. Step 6: Final answer
    x = 803,019,352,306.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.