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Finding the Third Proportional to 82,279,807.50 and 175,494,615

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Solution

The third proportional to 82,279,807.50 and 175,494,615 is: 374,312,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,279,807.50 : 175,494,615 = 175,494,615 : x
  2. Step 2: Convert to fraction form
    82,279,807.50/175,494,615 = 175,494,615/x
  3. Step 3: Cross multiply
    82,279,807.50x = 175,494,615 × 175,494,615
  4. Step 4: Simplify right side
    82,279,807.50x = 30,798,359,893,998,224
  5. Step 5: Solve for x
    x = 30,798,359,893,998,224/82,279,807.50
  6. Step 6: Final answer
    x = 374,312,493.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.