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Finding the Third Proportional to 150,804,416,379 and 224,898,866,284.50

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Solution

The third proportional to 150,804,416,379 and 224,898,866,284.50 is: 335,398,002,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,804,416,379 : 224,898,866,284.50 = 224,898,866,284.50 : x
  2. Step 2: Convert to fraction form
    150,804,416,379/224,898,866,284.50 = 224,898,866,284.50/x
  3. Step 3: Cross multiply
    150,804,416,379x = 224,898,866,284.50 × 224,898,866,284.50
  4. Step 4: Simplify right side
    150,804,416,379x = 50,579,500,056,053,414,887,424
  5. Step 5: Solve for x
    x = 50,579,500,056,053,414,887,424/150,804,416,379
  6. Step 6: Final answer
    x = 335,398,002,727.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.