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Finding the Third Proportional to 41,126,235.75 and 89,342,415

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Solution

The third proportional to 41,126,235.75 and 89,342,415 is: 194,086,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,126,235.75 : 89,342,415 = 89,342,415 : x
  2. Step 2: Convert to fraction form
    41,126,235.75/89,342,415 = 89,342,415/x
  3. Step 3: Cross multiply
    41,126,235.75x = 89,342,415 × 89,342,415
  4. Step 4: Simplify right side
    41,126,235.75x = 7,982,067,118,032,225
  5. Step 5: Solve for x
    x = 7,982,067,118,032,225/41,126,235.75
  6. Step 6: Final answer
    x = 194,086,985.41

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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.