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Finding the Third Proportional to 46,729.27 and 102,505.45

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Solution

The third proportional to 46,729.27 and 102,505.45 is: 224,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,729.27 : 102,505.45 = 102,505.45 : x
  2. Step 2: Convert to fraction form
    46,729.27/102,505.45 = 102,505.45/x
  3. Step 3: Cross multiply
    46,729.27x = 102,505.45 × 102,505.45
  4. Step 4: Simplify right side
    46,729.27x = 10,507,367,920.36
  5. Step 5: Solve for x
    x = 10,507,367,920.36/46,729.27
  6. Step 6: Final answer
    x = 224,856.26

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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.