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Finding the Third Proportional to 182,471,134.50 and 377,876,461.50

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Solution

The third proportional to 182,471,134.50 and 377,876,461.50 is: 782,538,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,471,134.50 : 377,876,461.50 = 377,876,461.50 : x
  2. Step 2: Convert to fraction form
    182,471,134.50/377,876,461.50 = 377,876,461.50/x
  3. Step 3: Cross multiply
    182,471,134.50x = 377,876,461.50 × 377,876,461.50
  4. Step 4: Simplify right side
    182,471,134.50x = 142,790,620,155,760,976
  5. Step 5: Solve for x
    x = 142,790,620,155,760,976/182,471,134.50
  6. Step 6: Final answer
    x = 782,538,128.82

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.