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Finding the Third Proportional to 97,266 and 209,316

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Solution

The third proportional to 97,266 and 209,316 is: 450,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,266 : 209,316 = 209,316 : x
  2. Step 2: Convert to fraction form
    97,266/209,316 = 209,316/x
  3. Step 3: Cross multiply
    97,266x = 209,316 × 209,316
  4. Step 4: Simplify right side
    97,266x = 43,813,187,856
  5. Step 5: Solve for x
    x = 43,813,187,856/97,266
  6. Step 6: Final answer
    x = 450,447.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.