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Finding the Third Proportional to 47,751,143 and 102,310,144

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Solution

The third proportional to 47,751,143 and 102,310,144 is: 219,206,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751,143 : 102,310,144 = 102,310,144 : x
  2. Step 2: Convert to fraction form
    47,751,143/102,310,144 = 102,310,144/x
  3. Step 3: Cross multiply
    47,751,143x = 102,310,144 × 102,310,144
  4. Step 4: Simplify right side
    47,751,143x = 10,467,365,565,300,736
  5. Step 5: Solve for x
    x = 10,467,365,565,300,736/47,751,143
  6. Step 6: Final answer
    x = 219,206,597.11

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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.