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Finding the Third Proportional to 84,035,248 and 182,794,352

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Solution

The third proportional to 84,035,248 and 182,794,352 is: 397,616,189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,035,248 : 182,794,352 = 182,794,352 : x
  2. Step 2: Convert to fraction form
    84,035,248/182,794,352 = 182,794,352/x
  3. Step 3: Cross multiply
    84,035,248x = 182,794,352 × 182,794,352
  4. Step 4: Simplify right side
    84,035,248x = 33,413,775,123,099,904
  5. Step 5: Solve for x
    x = 33,413,775,123,099,904/84,035,248
  6. Step 6: Final answer
    x = 397,616,189.85

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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.