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Finding the Third Proportional to 69,452,662.50 and 102,171,489.75

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Solution

The third proportional to 69,452,662.50 and 102,171,489.75 is: 150,304,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,452,662.50 : 102,171,489.75 = 102,171,489.75 : x
  2. Step 2: Convert to fraction form
    69,452,662.50/102,171,489.75 = 102,171,489.75/x
  3. Step 3: Cross multiply
    69,452,662.50x = 102,171,489.75 × 102,171,489.75
  4. Step 4: Simplify right side
    69,452,662.50x = 10,439,013,317,734,356
  5. Step 5: Solve for x
    x = 10,439,013,317,734,356/69,452,662.50
  6. Step 6: Final answer
    x = 150,304,004.80

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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.