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Finding the Third Proportional to 138,025,210 and 295,439,396

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Solution

The third proportional to 138,025,210 and 295,439,396 is: 632,380,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,025,210 : 295,439,396 = 295,439,396 : x
  2. Step 2: Convert to fraction form
    138,025,210/295,439,396 = 295,439,396/x
  3. Step 3: Cross multiply
    138,025,210x = 295,439,396 × 295,439,396
  4. Step 4: Simplify right side
    138,025,210x = 87,284,436,708,844,816
  5. Step 5: Solve for x
    x = 87,284,436,708,844,816/138,025,210
  6. Step 6: Final answer
    x = 632,380,394.20

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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.