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Finding the Third Proportional to 221,168,112 and 479,138,514

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Solution

The third proportional to 221,168,112 and 479,138,514 is: 1,038,005,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,168,112 : 479,138,514 = 479,138,514 : x
  2. Step 2: Convert to fraction form
    221,168,112/479,138,514 = 479,138,514/x
  3. Step 3: Cross multiply
    221,168,112x = 479,138,514 × 479,138,514
  4. Step 4: Simplify right side
    221,168,112x = 229,573,715,598,128,192
  5. Step 5: Solve for x
    x = 229,573,715,598,128,192/221,168,112
  6. Step 6: Final answer
    x = 1,038,005,495.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.