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Finding the Third Proportional to 131,586,104 and 285,138,424

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Solution

The third proportional to 131,586,104 and 285,138,424 is: 617,876,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,586,104 : 285,138,424 = 285,138,424 : x
  2. Step 2: Convert to fraction form
    131,586,104/285,138,424 = 285,138,424/x
  3. Step 3: Cross multiply
    131,586,104x = 285,138,424 × 285,138,424
  4. Step 4: Simplify right side
    131,586,104x = 81,303,920,841,203,776
  5. Step 5: Solve for x
    x = 81,303,920,841,203,776/131,586,104
  6. Step 6: Final answer
    x = 617,876,191.86

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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.