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Finding the Third Proportional to 169,660,142,748 and 369,107,542,530

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Solution

The third proportional to 169,660,142,748 and 369,107,542,530 is: 803,019,352,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,660,142,748 : 369,107,542,530 = 369,107,542,530 : x
  2. Step 2: Convert to fraction form
    169,660,142,748/369,107,542,530 = 369,107,542,530/x
  3. Step 3: Cross multiply
    169,660,142,748x = 369,107,542,530 × 369,107,542,530
  4. Step 4: Simplify right side
    169,660,142,748x = 136,240,377,952,535,765,319,680
  5. Step 5: Solve for x
    x = 136,240,377,952,535,765,319,680/169,660,142,748
  6. Step 6: Final answer
    x = 803,019,352,370.21

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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.