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Finding the Third Proportional to 97,030 and 212,093

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Solution

The third proportional to 97,030 and 212,093 is: 463,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,030 : 212,093 = 212,093 : x
  2. Step 2: Convert to fraction form
    97,030/212,093 = 212,093/x
  3. Step 3: Cross multiply
    97,030x = 212,093 × 212,093
  4. Step 4: Simplify right side
    97,030x = 44,983,440,649
  5. Step 5: Solve for x
    x = 44,983,440,649/97,030
  6. Step 6: Final answer
    x = 463,603.43

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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.