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Finding the Third Proportional to 46,462.50 and 101,800.50

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Solution

The third proportional to 46,462.50 and 101,800.50 is: 223,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,462.50 : 101,800.50 = 101,800.50 : x
  2. Step 2: Convert to fraction form
    46,462.50/101,800.50 = 101,800.50/x
  3. Step 3: Cross multiply
    46,462.50x = 101,800.50 × 101,800.50
  4. Step 4: Simplify right side
    46,462.50x = 10,363,341,800.25
  5. Step 5: Solve for x
    x = 10,363,341,800.25/46,462.50
  6. Step 6: Final answer
    x = 223,047.44

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