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Finding the Third Proportional to 85,955,962 and 185,524,226

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Solution

The third proportional to 85,955,962 and 185,524,226 is: 400,428,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,955,962 : 185,524,226 = 185,524,226 : x
  2. Step 2: Convert to fraction form
    85,955,962/185,524,226 = 185,524,226/x
  3. Step 3: Cross multiply
    85,955,962x = 185,524,226 × 185,524,226
  4. Step 4: Simplify right side
    85,955,962x = 34,419,238,432,899,076
  5. Step 5: Solve for x
    x = 34,419,238,432,899,076/85,955,962
  6. Step 6: Final answer
    x = 400,428,750.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.