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Finding the Third Proportional to 50,478,462 and 109,801,223

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Solution

The third proportional to 50,478,462 and 109,801,223 is: 238,840,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478,462 : 109,801,223 = 109,801,223 : x
  2. Step 2: Convert to fraction form
    50,478,462/109,801,223 = 109,801,223/x
  3. Step 3: Cross multiply
    50,478,462x = 109,801,223 × 109,801,223
  4. Step 4: Simplify right side
    50,478,462x = 12,056,308,572,295,728
  5. Step 5: Solve for x
    x = 12,056,308,572,295,728/50,478,462
  6. Step 6: Final answer
    x = 238,840,647.96

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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.