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Finding the Third Proportional to 85,138,789.50 and 186,758,811

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Solution

The third proportional to 85,138,789.50 and 186,758,811 is: 409,670,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138,789.50 : 186,758,811 = 186,758,811 : x
  2. Step 2: Convert to fraction form
    85,138,789.50/186,758,811 = 186,758,811/x
  3. Step 3: Cross multiply
    85,138,789.50x = 186,758,811 × 186,758,811
  4. Step 4: Simplify right side
    85,138,789.50x = 34,878,853,486,133,720
  5. Step 5: Solve for x
    x = 34,878,853,486,133,720/85,138,789.50
  6. Step 6: Final answer
    x = 409,670,535.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.