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Finding the Third Proportional to 41,992,176.94 and 65,199,142.69

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Solution

The third proportional to 41,992,176.94 and 65,199,142.69 is: 101,231,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,992,176.94 : 65,199,142.69 = 65,199,142.69 : x
  2. Step 2: Convert to fraction form
    41,992,176.94/65,199,142.69 = 65,199,142.69/x
  3. Step 3: Cross multiply
    41,992,176.94x = 65,199,142.69 × 65,199,142.69
  4. Step 4: Simplify right side
    41,992,176.94x = 4,250,928,207,184,984.50
  5. Step 5: Solve for x
    x = 4,250,928,207,184,984.50/41,992,176.94
  6. Step 6: Final answer
    x = 101,231,432.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.