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Finding the Third Proportional to 84,035,246 and 182,794,348

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Solution

The third proportional to 84,035,246 and 182,794,348 is: 397,616,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,035,246 : 182,794,348 = 182,794,348 : x
  2. Step 2: Convert to fraction form
    84,035,246/182,794,348 = 182,794,348/x
  3. Step 3: Cross multiply
    84,035,246x = 182,794,348 × 182,794,348
  4. Step 4: Simplify right side
    84,035,246x = 33,413,773,660,745,104
  5. Step 5: Solve for x
    x = 33,413,773,660,745,104/84,035,246
  6. Step 6: Final answer
    x = 397,616,181.91

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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.