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Finding the Third Proportional to 192,046,311 and 420,519,294

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Solution

The third proportional to 192,046,311 and 420,519,294 is: 920,801,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,046,311 : 420,519,294 = 420,519,294 : x
  2. Step 2: Convert to fraction form
    192,046,311/420,519,294 = 420,519,294/x
  3. Step 3: Cross multiply
    192,046,311x = 420,519,294 × 420,519,294
  4. Step 4: Simplify right side
    192,046,311x = 176,836,476,626,258,432
  5. Step 5: Solve for x
    x = 176,836,476,626,258,432/192,046,311
  6. Step 6: Final answer
    x = 920,801,215.63

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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.