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Finding the Third Proportional to 95,148 and 196,056

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Solution

The third proportional to 95,148 and 196,056 is: 403,980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,148 : 196,056 = 196,056 : x
  2. Step 2: Convert to fraction form
    95,148/196,056 = 196,056/x
  3. Step 3: Cross multiply
    95,148x = 196,056 × 196,056
  4. Step 4: Simplify right side
    95,148x = 38,437,955,136
  5. Step 5: Solve for x
    x = 38,437,955,136/95,148
  6. Step 6: Final answer
    x = 403,980.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.