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Finding the Third Proportional to 169,660,142,734 and 369,107,542,502

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Solution

The third proportional to 169,660,142,734 and 369,107,542,502 is: 803,019,352,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,660,142,734 : 369,107,542,502 = 369,107,542,502 : x
  2. Step 2: Convert to fraction form
    169,660,142,734/369,107,542,502 = 369,107,542,502/x
  3. Step 3: Cross multiply
    169,660,142,734x = 369,107,542,502 × 369,107,542,502
  4. Step 4: Simplify right side
    169,660,142,734x = 136,240,377,931,865,731,891,200
  5. Step 5: Solve for x
    x = 136,240,377,931,865,731,891,200/169,660,142,734
  6. Step 6: Final answer
    x = 803,019,352,314.64

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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.