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Finding the Third Proportional to 96,260 and 209,303

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Solution

The third proportional to 96,260 and 209,303 is: 455,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,260 : 209,303 = 209,303 : x
  2. Step 2: Convert to fraction form
    96,260/209,303 = 209,303/x
  3. Step 3: Cross multiply
    96,260x = 209,303 × 209,303
  4. Step 4: Simplify right side
    96,260x = 43,807,745,809
  5. Step 5: Solve for x
    x = 43,807,745,809/96,260
  6. Step 6: Final answer
    x = 455,098.13

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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.