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Finding the Third Proportional to 138,025,195 and 295,439,360

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Solution

The third proportional to 138,025,195 and 295,439,360 is: 632,380,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,025,195 : 295,439,360 = 295,439,360 : x
  2. Step 2: Convert to fraction form
    138,025,195/295,439,360 = 295,439,360/x
  3. Step 3: Cross multiply
    138,025,195x = 295,439,360 × 295,439,360
  4. Step 4: Simplify right side
    138,025,195x = 87,284,415,437,209,600
  5. Step 5: Solve for x
    x = 87,284,415,437,209,600/138,025,195
  6. Step 6: Final answer
    x = 632,380,308.81

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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.