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Finding the Third Proportional to 99,922 and 214,056

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Solution

The third proportional to 99,922 and 214,056 is: 458,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,922 : 214,056 = 214,056 : x
  2. Step 2: Convert to fraction form
    99,922/214,056 = 214,056/x
  3. Step 3: Cross multiply
    99,922x = 214,056 × 214,056
  4. Step 4: Simplify right side
    99,922x = 45,819,971,136
  5. Step 5: Solve for x
    x = 45,819,971,136/99,922
  6. Step 6: Final answer
    x = 458,557.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.