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Finding the Third Proportional to 69,089,226.75 and 147,744,390

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Solution

The third proportional to 69,089,226.75 and 147,744,390 is: 315,945,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,089,226.75 : 147,744,390 = 147,744,390 : x
  2. Step 2: Convert to fraction form
    69,089,226.75/147,744,390 = 147,744,390/x
  3. Step 3: Cross multiply
    69,089,226.75x = 147,744,390 × 147,744,390
  4. Step 4: Simplify right side
    69,089,226.75x = 21,828,404,776,472,100
  5. Step 5: Solve for x
    x = 21,828,404,776,472,100/69,089,226.75
  6. Step 6: Final answer
    x = 315,945,130.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.