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Finding the Third Proportional to 103,046,576.75 and 222,235,217.75

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Solution

The third proportional to 103,046,576.75 and 222,235,217.75 is: 479,283,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046,576.75 : 222,235,217.75 = 222,235,217.75 : x
  2. Step 2: Convert to fraction form
    103,046,576.75/222,235,217.75 = 222,235,217.75/x
  3. Step 3: Cross multiply
    103,046,576.75x = 222,235,217.75 × 222,235,217.75
  4. Step 4: Simplify right side
    103,046,576.75x = 49,388,492,008,389,912
  5. Step 5: Solve for x
    x = 49,388,492,008,389,912/103,046,576.75
  6. Step 6: Final answer
    x = 479,283,189.86

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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.