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Finding the Third Proportional to 138,025,188 and 295,439,346

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Solution

The third proportional to 138,025,188 and 295,439,346 is: 632,380,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,025,188 : 295,439,346 = 295,439,346 : x
  2. Step 2: Convert to fraction form
    138,025,188/295,439,346 = 295,439,346/x
  3. Step 3: Cross multiply
    138,025,188x = 295,439,346 × 295,439,346
  4. Step 4: Simplify right side
    138,025,188x = 87,284,407,164,907,712
  5. Step 5: Solve for x
    x = 87,284,407,164,907,712/138,025,188
  6. Step 6: Final answer
    x = 632,380,280.94

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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.