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Finding the Third Proportional to 88,421.63 and 186,821.44

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Solution

The third proportional to 88,421.63 and 186,821.44 is: 394,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,421.63 : 186,821.44 = 186,821.44 : x
  2. Step 2: Convert to fraction form
    88,421.63/186,821.44 = 186,821.44/x
  3. Step 3: Cross multiply
    88,421.63x = 186,821.44 × 186,821.44
  4. Step 4: Simplify right side
    88,421.63x = 34,902,249,509.57
  5. Step 5: Solve for x
    x = 34,902,249,509.57/88,421.63
  6. Step 6: Final answer
    x = 394,725.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.