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Finding the Third Proportional to 216,285,741 and 335,115,523.69

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Solution

The third proportional to 216,285,741 and 335,115,523.69 is: 519,231,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,285,741 : 335,115,523.69 = 335,115,523.69 : x
  2. Step 2: Convert to fraction form
    216,285,741/335,115,523.69 = 335,115,523.69/x
  3. Step 3: Cross multiply
    216,285,741x = 335,115,523.69 × 335,115,523.69
  4. Step 4: Simplify right side
    216,285,741x = 112,302,414,216,347,376
  5. Step 5: Solve for x
    x = 112,302,414,216,347,376/216,285,741
  6. Step 6: Final answer
    x = 519,231,705.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.