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Finding the Third Proportional to 194,292,103.50 and 420,869,241

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Solution

The third proportional to 194,292,103.50 and 420,869,241 is: 911,673,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,292,103.50 : 420,869,241 = 420,869,241 : x
  2. Step 2: Convert to fraction form
    194,292,103.50/420,869,241 = 420,869,241/x
  3. Step 3: Cross multiply
    194,292,103.50x = 420,869,241 × 420,869,241
  4. Step 4: Simplify right side
    194,292,103.50x = 177,130,918,019,916,096
  5. Step 5: Solve for x
    x = 177,130,918,019,916,096/194,292,103.50
  6. Step 6: Final answer
    x = 911,673,273.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.