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Finding the Third Proportional to 46,946.25 and 104,392.13

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Solution

The third proportional to 46,946.25 and 104,392.13 is: 232,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,946.25 : 104,392.13 = 104,392.13 : x
  2. Step 2: Convert to fraction form
    46,946.25/104,392.13 = 104,392.13/x
  3. Step 3: Cross multiply
    46,946.25x = 104,392.13 × 104,392.13
  4. Step 4: Simplify right side
    46,946.25x = 10,897,715,762.02
  5. Step 5: Solve for x
    x = 10,897,715,762.02/46,946.25
  6. Step 6: Final answer
    x = 232,131.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.