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Finding the Third Proportional to 46,302.89 and 101,285.44

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Solution

The third proportional to 46,302.89 and 101,285.44 is: 221,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,302.89 : 101,285.44 = 101,285.44 : x
  2. Step 2: Convert to fraction form
    46,302.89/101,285.44 = 101,285.44/x
  3. Step 3: Cross multiply
    46,302.89x = 101,285.44 × 101,285.44
  4. Step 4: Simplify right side
    46,302.89x = 10,258,739,849.57
  5. Step 5: Solve for x
    x = 10,258,739,849.57/46,302.89
  6. Step 6: Final answer
    x = 221,557.22

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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.