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Finding the Third Proportional to 45,205 and 98,338

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Solution

The third proportional to 45,205 and 98,338 is: 213,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,205 : 98,338 = 98,338 : x
  2. Step 2: Convert to fraction form
    45,205/98,338 = 98,338/x
  3. Step 3: Cross multiply
    45,205x = 98,338 × 98,338
  4. Step 4: Simplify right side
    45,205x = 9,670,362,244
  5. Step 5: Solve for x
    x = 9,670,362,244/45,205
  6. Step 6: Final answer
    x = 213,922.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.