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Finding the Third Proportional to 96,980.75 and 234,045.75

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Solution

The third proportional to 96,980.75 and 234,045.75 is: 564,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,980.75 : 234,045.75 = 234,045.75 : x
  2. Step 2: Convert to fraction form
    96,980.75/234,045.75 = 234,045.75/x
  3. Step 3: Cross multiply
    96,980.75x = 234,045.75 × 234,045.75
  4. Step 4: Simplify right side
    96,980.75x = 54,777,413,093.06
  5. Step 5: Solve for x
    x = 54,777,413,093.06/96,980.75
  6. Step 6: Final answer
    x = 564,827.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.