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Finding the Third Proportional to 158,961,815,356 and 322,594,642,790

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Solution

The third proportional to 158,961,815,356 and 322,594,642,790 is: 654,668,565,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,961,815,356 : 322,594,642,790 = 322,594,642,790 : x
  2. Step 2: Convert to fraction form
    158,961,815,356/322,594,642,790 = 322,594,642,790/x
  3. Step 3: Cross multiply
    158,961,815,356x = 322,594,642,790 × 322,594,642,790
  4. Step 4: Simplify right side
    158,961,815,356x = 104,067,303,556,807,695,269,888
  5. Step 5: Solve for x
    x = 104,067,303,556,807,695,269,888/158,961,815,356
  6. Step 6: Final answer
    x = 654,668,565,049.70

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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.