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Finding the Third Proportional to 97,137,115.50 and 198,176,181

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Solution

The third proportional to 97,137,115.50 and 198,176,181 is: 404,313,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,137,115.50 : 198,176,181 = 198,176,181 : x
  2. Step 2: Convert to fraction form
    97,137,115.50/198,176,181 = 198,176,181/x
  3. Step 3: Cross multiply
    97,137,115.50x = 198,176,181 × 198,176,181
  4. Step 4: Simplify right side
    97,137,115.50x = 39,273,798,715,744,760
  5. Step 5: Solve for x
    x = 39,273,798,715,744,760/97,137,115.50
  6. Step 6: Final answer
    x = 404,313,001.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.