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Finding the Third Proportional to 215,194,248 and 460,306,656

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Solution

The third proportional to 215,194,248 and 460,306,656 is: 984,609,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,194,248 : 460,306,656 = 460,306,656 : x
  2. Step 2: Convert to fraction form
    215,194,248/460,306,656 = 460,306,656/x
  3. Step 3: Cross multiply
    215,194,248x = 460,306,656 × 460,306,656
  4. Step 4: Simplify right side
    215,194,248x = 211,882,217,557,902,336
  5. Step 5: Solve for x
    x = 211,882,217,557,902,336/215,194,248
  6. Step 6: Final answer
    x = 984,609,112.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.