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Finding the Third Proportional to 83,415,234 and 181,659,768

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Solution

The third proportional to 83,415,234 and 181,659,768 is: 395,614,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415,234 : 181,659,768 = 181,659,768 : x
  2. Step 2: Convert to fraction form
    83,415,234/181,659,768 = 181,659,768/x
  3. Step 3: Cross multiply
    83,415,234x = 181,659,768 × 181,659,768
  4. Step 4: Simplify right side
    83,415,234x = 33,000,271,309,813,824
  5. Step 5: Solve for x
    x = 33,000,271,309,813,824/83,415,234
  6. Step 6: Final answer
    x = 395,614,442.68

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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.