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Finding the Third Proportional to 120,193.88 and 186,851.81

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Solution

The third proportional to 120,193.88 and 186,851.81 is: 290,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,193.88 : 186,851.81 = 186,851.81 : x
  2. Step 2: Convert to fraction form
    120,193.88/186,851.81 = 186,851.81/x
  3. Step 3: Cross multiply
    120,193.88x = 186,851.81 × 186,851.81
  4. Step 4: Simplify right side
    120,193.88x = 34,913,599,834.54
  5. Step 5: Solve for x
    x = 34,913,599,834.54/120,193.88
  6. Step 6: Final answer
    x = 290,477.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.