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Finding the Third Proportional to 131,586,097 and 285,138,410

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Solution

The third proportional to 131,586,097 and 285,138,410 is: 617,876,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,586,097 : 285,138,410 = 285,138,410 : x
  2. Step 2: Convert to fraction form
    131,586,097/285,138,410 = 285,138,410/x
  3. Step 3: Cross multiply
    131,586,097x = 285,138,410 × 285,138,410
  4. Step 4: Simplify right side
    131,586,097x = 81,303,912,857,328,096
  5. Step 5: Solve for x
    x = 81,303,912,857,328,096/131,586,097
  6. Step 6: Final answer
    x = 617,876,164.05

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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.