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Finding the Third Proportional to 237,178,419,533 and 361,324,916,140

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Solution

The third proportional to 237,178,419,533 and 361,324,916,140 is: 550,453,516,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,178,419,533 : 361,324,916,140 = 361,324,916,140 : x
  2. Step 2: Convert to fraction form
    237,178,419,533/361,324,916,140 = 361,324,916,140/x
  3. Step 3: Cross multiply
    237,178,419,533x = 361,324,916,140 × 361,324,916,140
  4. Step 4: Simplify right side
    237,178,419,533x = 130,555,695,023,578,029,228,032
  5. Step 5: Solve for x
    x = 130,555,695,023,578,029,228,032/237,178,419,533
  6. Step 6: Final answer
    x = 550,453,516,304.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.