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Finding the Third Proportional to 97,105,351.50 and 208,061,703

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Solution

The third proportional to 97,105,351.50 and 208,061,703 is: 445,801,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,105,351.50 : 208,061,703 = 208,061,703 : x
  2. Step 2: Convert to fraction form
    97,105,351.50/208,061,703 = 208,061,703/x
  3. Step 3: Cross multiply
    97,105,351.50x = 208,061,703 × 208,061,703
  4. Step 4: Simplify right side
    97,105,351.50x = 43,289,672,255,260,208
  5. Step 5: Solve for x
    x = 43,289,672,255,260,208/97,105,351.50
  6. Step 6: Final answer
    x = 445,801,097.33

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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.