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Finding the Third Proportional to 169,660,142,750 and 369,107,542,534

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Solution

The third proportional to 169,660,142,750 and 369,107,542,534 is: 803,019,352,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,660,142,750 : 369,107,542,534 = 369,107,542,534 : x
  2. Step 2: Convert to fraction form
    169,660,142,750/369,107,542,534 = 369,107,542,534/x
  3. Step 3: Cross multiply
    169,660,142,750x = 369,107,542,534 × 369,107,542,534
  4. Step 4: Simplify right side
    169,660,142,750x = 136,240,377,955,488,622,444,544
  5. Step 5: Solve for x
    x = 136,240,377,955,488,622,444,544/169,660,142,750
  6. Step 6: Final answer
    x = 803,019,352,378.15

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