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Finding the Third Proportional to 46,999.50 and 101,788.50

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Solution

The third proportional to 46,999.50 and 101,788.50 is: 220,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999.50 : 101,788.50 = 101,788.50 : x
  2. Step 2: Convert to fraction form
    46,999.50/101,788.50 = 101,788.50/x
  3. Step 3: Cross multiply
    46,999.50x = 101,788.50 × 101,788.50
  4. Step 4: Simplify right side
    46,999.50x = 10,360,898,732.25
  5. Step 5: Solve for x
    x = 10,360,898,732.25/46,999.50
  6. Step 6: Final answer
    x = 220,447.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.