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Finding the Third Proportional to 46,951.31 and 97,176.38

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Solution

The third proportional to 46,951.31 and 97,176.38 is: 201,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,951.31 : 97,176.38 = 97,176.38 : x
  2. Step 2: Convert to fraction form
    46,951.31/97,176.38 = 97,176.38/x
  3. Step 3: Cross multiply
    46,951.31x = 97,176.38 × 97,176.38
  4. Step 4: Simplify right side
    46,951.31x = 9,443,247,858.14
  5. Step 5: Solve for x
    x = 9,443,247,858.14/46,951.31
  6. Step 6: Final answer
    x = 201,128.52

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