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Finding the Third Proportional to 46,511.72 and 96,607.69

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Solution

The third proportional to 46,511.72 and 96,607.69 is: 200,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,511.72 : 96,607.69 = 96,607.69 : x
  2. Step 2: Convert to fraction form
    46,511.72/96,607.69 = 96,607.69/x
  3. Step 3: Cross multiply
    46,511.72x = 96,607.69 × 96,607.69
  4. Step 4: Simplify right side
    46,511.72x = 9,333,045,284.10
  5. Step 5: Solve for x
    x = 9,333,045,284.10/46,511.72
  6. Step 6: Final answer
    x = 200,660.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.