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Finding the Third Proportional to 131,586,124 and 285,138,464

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Solution

The third proportional to 131,586,124 and 285,138,464 is: 617,876,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,586,124 : 285,138,464 = 285,138,464 : x
  2. Step 2: Convert to fraction form
    131,586,124/285,138,464 = 285,138,464/x
  3. Step 3: Cross multiply
    131,586,124x = 285,138,464 × 285,138,464
  4. Step 4: Simplify right side
    131,586,124x = 81,303,943,652,279,296
  5. Step 5: Solve for x
    x = 81,303,943,652,279,296/131,586,124
  6. Step 6: Final answer
    x = 617,876,271.30

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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.