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Finding the Third Proportional to 46,518.38 and 101,901.94

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Solution

The third proportional to 46,518.38 and 101,901.94 is: 223,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,518.38 : 101,901.94 = 101,901.94 : x
  2. Step 2: Convert to fraction form
    46,518.38/101,901.94 = 101,901.94/x
  3. Step 3: Cross multiply
    46,518.38x = 101,901.94 × 101,901.94
  4. Step 4: Simplify right side
    46,518.38x = 10,384,004,866.25
  5. Step 5: Solve for x
    x = 10,384,004,866.25/46,518.38
  6. Step 6: Final answer
    x = 223,223.72

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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.