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Finding the Third Proportional to 219,381,606,034.50 and 308,937,644,289

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Solution

The third proportional to 219,381,606,034.50 and 308,937,644,289 is: 435,052,280,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,381,606,034.50 : 308,937,644,289 = 308,937,644,289 : x
  2. Step 2: Convert to fraction form
    219,381,606,034.50/308,937,644,289 = 308,937,644,289/x
  3. Step 3: Cross multiply
    219,381,606,034.50x = 308,937,644,289 × 308,937,644,289
  4. Step 4: Simplify right side
    219,381,606,034.50x = 95,442,468,058,836,691,320,832
  5. Step 5: Solve for x
    x = 95,442,468,058,836,691,320,832/219,381,606,034.50
  6. Step 6: Final answer
    x = 435,052,280,745.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.