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Finding the Third Proportional to 46,809 and 102,364.50

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Solution

The third proportional to 46,809 and 102,364.50 is: 223,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,809 : 102,364.50 = 102,364.50 : x
  2. Step 2: Convert to fraction form
    46,809/102,364.50 = 102,364.50/x
  3. Step 3: Cross multiply
    46,809x = 102,364.50 × 102,364.50
  4. Step 4: Simplify right side
    46,809x = 10,478,490,860.25
  5. Step 5: Solve for x
    x = 10,478,490,860.25/46,809
  6. Step 6: Final answer
    x = 223,856.33

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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.