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Finding the Third Proportional to 46,022.63 and 99,290.25

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Solution

The third proportional to 46,022.63 and 99,290.25 is: 214,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022.63 : 99,290.25 = 99,290.25 : x
  2. Step 2: Convert to fraction form
    46,022.63/99,290.25 = 99,290.25/x
  3. Step 3: Cross multiply
    46,022.63x = 99,290.25 × 99,290.25
  4. Step 4: Simplify right side
    46,022.63x = 9,858,553,745.06
  5. Step 5: Solve for x
    x = 9,858,553,745.06/46,022.63
  6. Step 6: Final answer
    x = 214,211.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.