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Finding the Third Proportional to 313,886,581.50 and 516,847,086

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Solution

The third proportional to 313,886,581.50 and 516,847,086 is: 851,042,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886,581.50 : 516,847,086 = 516,847,086 : x
  2. Step 2: Convert to fraction form
    313,886,581.50/516,847,086 = 516,847,086/x
  3. Step 3: Cross multiply
    313,886,581.50x = 516,847,086 × 516,847,086
  4. Step 4: Simplify right side
    313,886,581.50x = 267,130,910,306,691,392
  5. Step 5: Solve for x
    x = 267,130,910,306,691,392/313,886,581.50
  6. Step 6: Final answer
    x = 851,042,784.40

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.