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Finding the Third Proportional to 97,484 and 212,596

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Solution

The third proportional to 97,484 and 212,596 is: 463,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,484 : 212,596 = 212,596 : x
  2. Step 2: Convert to fraction form
    97,484/212,596 = 212,596/x
  3. Step 3: Cross multiply
    97,484x = 212,596 × 212,596
  4. Step 4: Simplify right side
    97,484x = 45,197,059,216
  5. Step 5: Solve for x
    x = 45,197,059,216/97,484
  6. Step 6: Final answer
    x = 463,635.67

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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.