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Finding the Third Proportional to 97,323 and 209,838

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Solution

The third proportional to 97,323 and 209,838 is: 452,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,323 : 209,838 = 209,838 : x
  2. Step 2: Convert to fraction form
    97,323/209,838 = 209,838/x
  3. Step 3: Cross multiply
    97,323x = 209,838 × 209,838
  4. Step 4: Simplify right side
    97,323x = 44,031,986,244
  5. Step 5: Solve for x
    x = 44,031,986,244/97,323
  6. Step 6: Final answer
    x = 452,431.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.