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Finding the Third Proportional to 138,025,328 and 295,439,648

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Solution

The third proportional to 138,025,328 and 295,439,648 is: 632,380,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,025,328 : 295,439,648 = 295,439,648 : x
  2. Step 2: Convert to fraction form
    138,025,328/295,439,648 = 295,439,648/x
  3. Step 3: Cross multiply
    138,025,328x = 295,439,648 × 295,439,648
  4. Step 4: Simplify right side
    138,025,328x = 87,284,585,610,363,904
  5. Step 5: Solve for x
    x = 87,284,585,610,363,904/138,025,328
  6. Step 6: Final answer
    x = 632,380,932.36

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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.