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Finding the Third Proportional to 87,246,728.86 and 189,034,039.83

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Solution

The third proportional to 87,246,728.86 and 189,034,039.83 is: 409,572,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,246,728.86 : 189,034,039.83 = 189,034,039.83 : x
  2. Step 2: Convert to fraction form
    87,246,728.86/189,034,039.83 = 189,034,039.83/x
  3. Step 3: Cross multiply
    87,246,728.86x = 189,034,039.83 × 189,034,039.83
  4. Step 4: Simplify right side
    87,246,728.86x = 35,733,868,213,739,256
  5. Step 5: Solve for x
    x = 35,733,868,213,739,256/87,246,728.86
  6. Step 6: Final answer
    x = 409,572,584.34

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Why These Related Problems?

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