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Finding the Third Proportional to 187,844,312 and 409,036,540

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Solution

The third proportional to 187,844,312 and 409,036,540 is: 890,689,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,844,312 : 409,036,540 = 409,036,540 : x
  2. Step 2: Convert to fraction form
    187,844,312/409,036,540 = 409,036,540/x
  3. Step 3: Cross multiply
    187,844,312x = 409,036,540 × 409,036,540
  4. Step 4: Simplify right side
    187,844,312x = 167,310,891,055,171,584
  5. Step 5: Solve for x
    x = 167,310,891,055,171,584/187,844,312
  6. Step 6: Final answer
    x = 890,689,152.49

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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.