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Finding the Third Proportional to 138,380,280 and 194,649,299

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Solution

The third proportional to 138,380,280 and 194,649,299 is: 273,798,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,380,280 : 194,649,299 = 194,649,299 : x
  2. Step 2: Convert to fraction form
    138,380,280/194,649,299 = 194,649,299/x
  3. Step 3: Cross multiply
    138,380,280x = 194,649,299 × 194,649,299
  4. Step 4: Simplify right side
    138,380,280x = 37,888,349,601,191,400
  5. Step 5: Solve for x
    x = 37,888,349,601,191,400/138,380,280
  6. Step 6: Final answer
    x = 273,798,763.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.