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Finding the Third Proportional to 97,783 and 209,862

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Solution

The third proportional to 97,783 and 209,862 is: 450,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,783 : 209,862 = 209,862 : x
  2. Step 2: Convert to fraction form
    97,783/209,862 = 209,862/x
  3. Step 3: Cross multiply
    97,783x = 209,862 × 209,862
  4. Step 4: Simplify right side
    97,783x = 44,042,059,044
  5. Step 5: Solve for x
    x = 44,042,059,044/97,783
  6. Step 6: Final answer
    x = 450,406.09

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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.