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Finding the Third Proportional to 159,424,078.50 and 343,298,817

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Solution

The third proportional to 159,424,078.50 and 343,298,817 is: 739,248,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,424,078.50 : 343,298,817 = 343,298,817 : x
  2. Step 2: Convert to fraction form
    159,424,078.50/343,298,817 = 343,298,817/x
  3. Step 3: Cross multiply
    159,424,078.50x = 343,298,817 × 343,298,817
  4. Step 4: Simplify right side
    159,424,078.50x = 117,854,077,753,599,488
  5. Step 5: Solve for x
    x = 117,854,077,753,599,488/159,424,078.50
  6. Step 6: Final answer
    x = 739,248,919.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.