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Finding the Third Proportional to 138,025,201 and 295,439,371

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Solution

The third proportional to 138,025,201 and 295,439,371 is: 632,380,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,025,201 : 295,439,371 = 295,439,371 : x
  2. Step 2: Convert to fraction form
    138,025,201/295,439,371 = 295,439,371/x
  3. Step 3: Cross multiply
    138,025,201x = 295,439,371 × 295,439,371
  4. Step 4: Simplify right side
    138,025,201x = 87,284,421,936,875,648
  5. Step 5: Solve for x
    x = 87,284,421,936,875,648/138,025,201
  6. Step 6: Final answer
    x = 632,380,328.41

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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.