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Finding the Third Proportional to 131,586,100 and 285,138,416

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Solution

The third proportional to 131,586,100 and 285,138,416 is: 617,876,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,586,100 : 285,138,416 = 285,138,416 : x
  2. Step 2: Convert to fraction form
    131,586,100/285,138,416 = 285,138,416/x
  3. Step 3: Cross multiply
    131,586,100x = 285,138,416 × 285,138,416
  4. Step 4: Simplify right side
    131,586,100x = 81,303,916,278,989,056
  5. Step 5: Solve for x
    x = 81,303,916,278,989,056/131,586,100
  6. Step 6: Final answer
    x = 617,876,175.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.