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Finding the Third Proportional to 57,666,057.75 and 126,285,702.75

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Solution

The third proportional to 57,666,057.75 and 126,285,702.75 is: 276,559,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,666,057.75 : 126,285,702.75 = 126,285,702.75 : x
  2. Step 2: Convert to fraction form
    57,666,057.75/126,285,702.75 = 126,285,702.75/x
  3. Step 3: Cross multiply
    57,666,057.75x = 126,285,702.75 × 126,285,702.75
  4. Step 4: Simplify right side
    57,666,057.75x = 15,948,078,719,061,358
  5. Step 5: Solve for x
    x = 15,948,078,719,061,358/57,666,057.75
  6. Step 6: Final answer
    x = 276,559,198.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.