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Finding the Third Proportional to 97,028 and 212,089

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Solution

The third proportional to 97,028 and 212,089 is: 463,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,028 : 212,089 = 212,089 : x
  2. Step 2: Convert to fraction form
    97,028/212,089 = 212,089/x
  3. Step 3: Cross multiply
    97,028x = 212,089 × 212,089
  4. Step 4: Simplify right side
    97,028x = 44,981,743,921
  5. Step 5: Solve for x
    x = 44,981,743,921/97,028
  6. Step 6: Final answer
    x = 463,595.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.