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Finding the Third Proportional to 102,517,434 and 224,507,911.50

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Solution

The third proportional to 102,517,434 and 224,507,911.50 is: 491,660,787.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,517,434 : 224,507,911.50 = 224,507,911.50 : x
  2. Step 2: Convert to fraction form
    102,517,434/224,507,911.50 = 224,507,911.50/x
  3. Step 3: Cross multiply
    102,517,434x = 224,507,911.50 × 224,507,911.50
  4. Step 4: Simplify right side
    102,517,434x = 50,403,802,326,091,832
  5. Step 5: Solve for x
    x = 50,403,802,326,091,832/102,517,434
  6. Step 6: Final answer
    x = 491,660,787.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.