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Finding the Third Proportional to 69,474,845 and 102,191,479.50

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Solution

The third proportional to 69,474,845 and 102,191,479.50 is: 150,314,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,474,845 : 102,191,479.50 = 102,191,479.50 : x
  2. Step 2: Convert to fraction form
    69,474,845/102,191,479.50 = 102,191,479.50/x
  3. Step 3: Cross multiply
    69,474,845x = 102,191,479.50 × 102,191,479.50
  4. Step 4: Simplify right side
    69,474,845x = 10,443,098,482,398,920
  5. Step 5: Solve for x
    x = 10,443,098,482,398,920/69,474,845
  6. Step 6: Final answer
    x = 150,314,815.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.