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Finding the Third Proportional to 84,454,856 and 185,052,224

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Solution

The third proportional to 84,454,856 and 185,052,224 is: 405,474,915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,454,856 : 185,052,224 = 185,052,224 : x
  2. Step 2: Convert to fraction form
    84,454,856/185,052,224 = 185,052,224/x
  3. Step 3: Cross multiply
    84,454,856x = 185,052,224 × 185,052,224
  4. Step 4: Simplify right side
    84,454,856x = 34,244,325,607,346,176
  5. Step 5: Solve for x
    x = 34,244,325,607,346,176/84,454,856
  6. Step 6: Final answer
    x = 405,474,915.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.