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Finding the Third Proportional to 98,186 and 212,056

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Solution

The third proportional to 98,186 and 212,056 is: 457,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,186 : 212,056 = 212,056 : x
  2. Step 2: Convert to fraction form
    98,186/212,056 = 212,056/x
  3. Step 3: Cross multiply
    98,186x = 212,056 × 212,056
  4. Step 4: Simplify right side
    98,186x = 44,967,747,136
  5. Step 5: Solve for x
    x = 44,967,747,136/98,186
  6. Step 6: Final answer
    x = 457,985.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.