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Finding the Third Proportional to 138,025,201.50 and 295,439,373

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Solution

The third proportional to 138,025,201.50 and 295,439,373 is: 632,380,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,025,201.50 : 295,439,373 = 295,439,373 : x
  2. Step 2: Convert to fraction form
    138,025,201.50/295,439,373 = 295,439,373/x
  3. Step 3: Cross multiply
    138,025,201.50x = 295,439,373 × 295,439,373
  4. Step 4: Simplify right side
    138,025,201.50x = 87,284,423,118,633,136
  5. Step 5: Solve for x
    x = 87,284,423,118,633,136/138,025,201.50
  6. Step 6: Final answer
    x = 632,380,334.68

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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.