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Finding the Third Proportional to 47,152,514 and 104,215,396

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Solution

The third proportional to 47,152,514 and 104,215,396 is: 230,334,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152,514 : 104,215,396 = 104,215,396 : x
  2. Step 2: Convert to fraction form
    47,152,514/104,215,396 = 104,215,396/x
  3. Step 3: Cross multiply
    47,152,514x = 104,215,396 × 104,215,396
  4. Step 4: Simplify right side
    47,152,514x = 10,860,848,763,436,816
  5. Step 5: Solve for x
    x = 10,860,848,763,436,816/47,152,514
  6. Step 6: Final answer
    x = 230,334,458.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.