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Finding the Third Proportional to 46,367.44 and 98,733.94

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Solution

The third proportional to 46,367.44 and 98,733.94 is: 210,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,367.44 : 98,733.94 = 98,733.94 : x
  2. Step 2: Convert to fraction form
    46,367.44/98,733.94 = 98,733.94/x
  3. Step 3: Cross multiply
    46,367.44x = 98,733.94 × 98,733.94
  4. Step 4: Simplify right side
    46,367.44x = 9,748,390,414.25
  5. Step 5: Solve for x
    x = 9,748,390,414.25/46,367.44
  6. Step 6: Final answer
    x = 210,242.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.