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Finding the Third Proportional to 84,348,000 and 184,162,464

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Solution

The third proportional to 84,348,000 and 184,162,464 is: 402,093,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,348,000 : 184,162,464 = 184,162,464 : x
  2. Step 2: Convert to fraction form
    84,348,000/184,162,464 = 184,162,464/x
  3. Step 3: Cross multiply
    84,348,000x = 184,162,464 × 184,162,464
  4. Step 4: Simplify right side
    84,348,000x = 33,915,813,146,551,296
  5. Step 5: Solve for x
    x = 33,915,813,146,551,296/84,348,000
  6. Step 6: Final answer
    x = 402,093,862.88

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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.