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Finding the Third Proportional to 45,765 and 98,546.63

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Solution

The third proportional to 45,765 and 98,546.63 is: 212,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,765 : 98,546.63 = 98,546.63 : x
  2. Step 2: Convert to fraction form
    45,765/98,546.63 = 98,546.63/x
  3. Step 3: Cross multiply
    45,765x = 98,546.63 × 98,546.63
  4. Step 4: Simplify right side
    45,765x = 9,711,437,298.89
  5. Step 5: Solve for x
    x = 9,711,437,298.89/45,765
  6. Step 6: Final answer
    x = 212,202.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.