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Finding the Third Proportional to 211,324,842 and 460,166,089.50

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Solution

The third proportional to 211,324,842 and 460,166,089.50 is: 1,002,025,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,324,842 : 460,166,089.50 = 460,166,089.50 : x
  2. Step 2: Convert to fraction form
    211,324,842/460,166,089.50 = 460,166,089.50/x
  3. Step 3: Cross multiply
    211,324,842x = 460,166,089.50 × 460,166,089.50
  4. Step 4: Simplify right side
    211,324,842x = 211,752,829,925,722,016
  5. Step 5: Solve for x
    x = 211,752,829,925,722,016/211,324,842
  6. Step 6: Final answer
    x = 1,002,025,260.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.