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Finding the Third Proportional to 46,291.50 and 100,769.06

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Solution

The third proportional to 46,291.50 and 100,769.06 is: 219,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,291.50 : 100,769.06 = 100,769.06 : x
  2. Step 2: Convert to fraction form
    46,291.50/100,769.06 = 100,769.06/x
  3. Step 3: Cross multiply
    46,291.50x = 100,769.06 × 100,769.06
  4. Step 4: Simplify right side
    46,291.50x = 10,154,403,957.13
  5. Step 5: Solve for x
    x = 10,154,403,957.13/46,291.50
  6. Step 6: Final answer
    x = 219,357.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.