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Finding the Third Proportional to 97,023 and 212,079

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Solution

The third proportional to 97,023 and 212,079 is: 463,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,023 : 212,079 = 212,079 : x
  2. Step 2: Convert to fraction form
    97,023/212,079 = 212,079/x
  3. Step 3: Cross multiply
    97,023x = 212,079 × 212,079
  4. Step 4: Simplify right side
    97,023x = 44,977,502,241
  5. Step 5: Solve for x
    x = 44,977,502,241/97,023
  6. Step 6: Final answer
    x = 463,575.67

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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.