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Finding the Third Proportional to 46,064.25 and 96,770.25

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Solution

The third proportional to 46,064.25 and 96,770.25 is: 203,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,064.25 : 96,770.25 = 96,770.25 : x
  2. Step 2: Convert to fraction form
    46,064.25/96,770.25 = 96,770.25/x
  3. Step 3: Cross multiply
    46,064.25x = 96,770.25 × 96,770.25
  4. Step 4: Simplify right side
    46,064.25x = 9,364,481,285.06
  5. Step 5: Solve for x
    x = 9,364,481,285.06/46,064.25
  6. Step 6: Final answer
    x = 203,291.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.