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Finding the Third Proportional to 97,433 and 212,499

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Solution

The third proportional to 97,433 and 212,499 is: 463,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,433 : 212,499 = 212,499 : x
  2. Step 2: Convert to fraction form
    97,433/212,499 = 212,499/x
  3. Step 3: Cross multiply
    97,433x = 212,499 × 212,499
  4. Step 4: Simplify right side
    97,433x = 45,155,825,001
  5. Step 5: Solve for x
    x = 45,155,825,001/97,433
  6. Step 6: Final answer
    x = 463,455.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.