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Finding the Third Proportional to 45,545.63 and 100,058.63

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Solution

The third proportional to 45,545.63 and 100,058.63 is: 219,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,545.63 : 100,058.63 = 100,058.63 : x
  2. Step 2: Convert to fraction form
    45,545.63/100,058.63 = 100,058.63/x
  3. Step 3: Cross multiply
    45,545.63x = 100,058.63 × 100,058.63
  4. Step 4: Simplify right side
    45,545.63x = 10,011,728,436.89
  5. Step 5: Solve for x
    x = 10,011,728,436.89/45,545.63
  6. Step 6: Final answer
    x = 219,817.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.