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Finding the Third Proportional to 97,306 and 211,226

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Solution

The third proportional to 97,306 and 211,226 is: 458,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,306 : 211,226 = 211,226 : x
  2. Step 2: Convert to fraction form
    97,306/211,226 = 211,226/x
  3. Step 3: Cross multiply
    97,306x = 211,226 × 211,226
  4. Step 4: Simplify right side
    97,306x = 44,616,423,076
  5. Step 5: Solve for x
    x = 44,616,423,076/97,306
  6. Step 6: Final answer
    x = 458,516.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.