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Finding the Third Proportional to 170,639,586 and 257,752,665.75

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Solution

The third proportional to 170,639,586 and 257,752,665.75 is: 389,337,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,639,586 : 257,752,665.75 = 257,752,665.75 : x
  2. Step 2: Convert to fraction form
    170,639,586/257,752,665.75 = 257,752,665.75/x
  3. Step 3: Cross multiply
    170,639,586x = 257,752,665.75 × 257,752,665.75
  4. Step 4: Simplify right side
    170,639,586x = 66,436,436,701,231,224
  5. Step 5: Solve for x
    x = 66,436,436,701,231,224/170,639,586
  6. Step 6: Final answer
    x = 389,337,774.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.