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Finding the Third Proportional to 187,844,206 and 409,036,328

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Solution

The third proportional to 187,844,206 and 409,036,328 is: 890,688,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,844,206 : 409,036,328 = 409,036,328 : x
  2. Step 2: Convert to fraction form
    187,844,206/409,036,328 = 409,036,328/x
  3. Step 3: Cross multiply
    187,844,206x = 409,036,328 × 409,036,328
  4. Step 4: Simplify right side
    187,844,206x = 167,310,717,623,723,584
  5. Step 5: Solve for x
    x = 167,310,717,623,723,584/187,844,206
  6. Step 6: Final answer
    x = 890,688,731.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.