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Finding the Third Proportional to 193,912,344 and 308,702,056

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Solution

The third proportional to 193,912,344 and 308,702,056 is: 491,443,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,912,344 : 308,702,056 = 308,702,056 : x
  2. Step 2: Convert to fraction form
    193,912,344/308,702,056 = 308,702,056/x
  3. Step 3: Cross multiply
    193,912,344x = 308,702,056 × 308,702,056
  4. Step 4: Simplify right side
    193,912,344x = 95,296,959,378,627,136
  5. Step 5: Solve for x
    x = 95,296,959,378,627,136/193,912,344
  6. Step 6: Final answer
    x = 491,443,491.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.