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Finding the Third Proportional to 45,790.31 and 100,328.63

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Solution

The third proportional to 45,790.31 and 100,328.63 is: 219,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,790.31 : 100,328.63 = 100,328.63 : x
  2. Step 2: Convert to fraction form
    45,790.31/100,328.63 = 100,328.63/x
  3. Step 3: Cross multiply
    45,790.31x = 100,328.63 × 100,328.63
  4. Step 4: Simplify right side
    45,790.31x = 10,065,832,994.39
  5. Step 5: Solve for x
    x = 10,065,832,994.39/45,790.31
  6. Step 6: Final answer
    x = 219,824.51

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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.