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Finding the Third Proportional to 138,025,329 and 295,439,650

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Solution

The third proportional to 138,025,329 and 295,439,650 is: 632,380,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,025,329 : 295,439,650 = 295,439,650 : x
  2. Step 2: Convert to fraction form
    138,025,329/295,439,650 = 295,439,650/x
  3. Step 3: Cross multiply
    138,025,329x = 295,439,650 × 295,439,650
  4. Step 4: Simplify right side
    138,025,329x = 87,284,586,792,122,496
  5. Step 5: Solve for x
    x = 87,284,586,792,122,496/138,025,329
  6. Step 6: Final answer
    x = 632,380,936.34

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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.