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Finding the Third Proportional to 75,124,379 and 163,180,992.75

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Solution

The third proportional to 75,124,379 and 163,180,992.75 is: 354,452,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,124,379 : 163,180,992.75 = 163,180,992.75 : x
  2. Step 2: Convert to fraction form
    75,124,379/163,180,992.75 = 163,180,992.75/x
  3. Step 3: Cross multiply
    75,124,379x = 163,180,992.75 × 163,180,992.75
  4. Step 4: Simplify right side
    75,124,379x = 26,628,036,394,875,552
  5. Step 5: Solve for x
    x = 26,628,036,394,875,552/75,124,379
  6. Step 6: Final answer
    x = 354,452,665.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.