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Finding the Third Proportional to 46,945 and 96,988

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Solution

The third proportional to 46,945 and 96,988 is: 200,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,945 : 96,988 = 96,988 : x
  2. Step 2: Convert to fraction form
    46,945/96,988 = 96,988/x
  3. Step 3: Cross multiply
    46,945x = 96,988 × 96,988
  4. Step 4: Simplify right side
    46,945x = 9,406,672,144
  5. Step 5: Solve for x
    x = 9,406,672,144/46,945
  6. Step 6: Final answer
    x = 200,376.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.