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Finding the Third Proportional to 103,046,576.25 and 222,235,216.75

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Solution

The third proportional to 103,046,576.25 and 222,235,216.75 is: 479,283,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046,576.25 : 222,235,216.75 = 222,235,216.75 : x
  2. Step 2: Convert to fraction form
    103,046,576.25/222,235,216.75 = 222,235,216.75/x
  3. Step 3: Cross multiply
    103,046,576.25x = 222,235,216.75 × 222,235,216.75
  4. Step 4: Simplify right side
    103,046,576.25x = 49,388,491,563,919,480
  5. Step 5: Solve for x
    x = 49,388,491,563,919,480/103,046,576.25
  6. Step 6: Final answer
    x = 479,283,187.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.