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Finding the Third Proportional to 143,978,647.50 and 231,853,045.50

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Solution

The third proportional to 143,978,647.50 and 231,853,045.50 is: 373,359,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,978,647.50 : 231,853,045.50 = 231,853,045.50 : x
  2. Step 2: Convert to fraction form
    143,978,647.50/231,853,045.50 = 231,853,045.50/x
  3. Step 3: Cross multiply
    143,978,647.50x = 231,853,045.50 × 231,853,045.50
  4. Step 4: Simplify right side
    143,978,647.50x = 53,755,834,707,625,072
  5. Step 5: Solve for x
    x = 53,755,834,707,625,072/143,978,647.50
  6. Step 6: Final answer
    x = 373,359,769.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.