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Finding the Third Proportional to 47,857,443 and 105,284,550

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Solution

The third proportional to 47,857,443 and 105,284,550 is: 231,621,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857,443 : 105,284,550 = 105,284,550 : x
  2. Step 2: Convert to fraction form
    47,857,443/105,284,550 = 105,284,550/x
  3. Step 3: Cross multiply
    47,857,443x = 105,284,550 × 105,284,550
  4. Step 4: Simplify right side
    47,857,443x = 11,084,836,468,702,500
  5. Step 5: Solve for x
    x = 11,084,836,468,702,500/47,857,443
  6. Step 6: Final answer
    x = 231,621,995.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.