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Finding the Third Proportional to 115,231,006 and 253,446,187.50

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Solution

The third proportional to 115,231,006 and 253,446,187.50 is: 557,445,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,231,006 : 253,446,187.50 = 253,446,187.50 : x
  2. Step 2: Convert to fraction form
    115,231,006/253,446,187.50 = 253,446,187.50/x
  3. Step 3: Cross multiply
    115,231,006x = 253,446,187.50 × 253,446,187.50
  4. Step 4: Simplify right side
    115,231,006x = 64,234,969,958,285,160
  5. Step 5: Solve for x
    x = 64,234,969,958,285,160/115,231,006
  6. Step 6: Final answer
    x = 557,445,189.35

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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.