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Finding the Third Proportional to 107,716,486 and 170,592,616

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Solution

The third proportional to 107,716,486 and 170,592,616 is: 270,170,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716,486 : 170,592,616 = 170,592,616 : x
  2. Step 2: Convert to fraction form
    107,716,486/170,592,616 = 170,592,616/x
  3. Step 3: Cross multiply
    107,716,486x = 170,592,616 × 170,592,616
  4. Step 4: Simplify right side
    107,716,486x = 29,101,840,633,723,456
  5. Step 5: Solve for x
    x = 29,101,840,633,723,456/107,716,486
  6. Step 6: Final answer
    x = 270,170,720.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.