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Finding the Third Proportional to 187,185,437 and 400,336,209

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Solution

The third proportional to 187,185,437 and 400,336,209 is: 856,204,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,185,437 : 400,336,209 = 400,336,209 : x
  2. Step 2: Convert to fraction form
    187,185,437/400,336,209 = 400,336,209/x
  3. Step 3: Cross multiply
    187,185,437x = 400,336,209 × 400,336,209
  4. Step 4: Simplify right side
    187,185,437x = 160,269,080,236,491,680
  5. Step 5: Solve for x
    x = 160,269,080,236,491,680/187,185,437
  6. Step 6: Final answer
    x = 856,204,856.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.