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Finding the Third Proportional to 85,517,995 and 186,717,144

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Solution

The third proportional to 85,517,995 and 186,717,144 is: 407,671,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,517,995 : 186,717,144 = 186,717,144 : x
  2. Step 2: Convert to fraction form
    85,517,995/186,717,144 = 186,717,144/x
  3. Step 3: Cross multiply
    85,517,995x = 186,717,144 × 186,717,144
  4. Step 4: Simplify right side
    85,517,995x = 34,863,291,863,516,736
  5. Step 5: Solve for x
    x = 34,863,291,863,516,736/85,517,995
  6. Step 6: Final answer
    x = 407,671,997.73

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Why These Related Problems?

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