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Finding the Third Proportional to 46,769.81 and 102,594.38

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Solution

The third proportional to 46,769.81 and 102,594.38 is: 225,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769.81 : 102,594.38 = 102,594.38 : x
  2. Step 2: Convert to fraction form
    46,769.81/102,594.38 = 102,594.38/x
  3. Step 3: Cross multiply
    46,769.81x = 102,594.38 × 102,594.38
  4. Step 4: Simplify right side
    46,769.81x = 10,525,605,781.64
  5. Step 5: Solve for x
    x = 10,525,605,781.64/46,769.81
  6. Step 6: Final answer
    x = 225,051.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.