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Finding the Third Proportional to 88,290 and 188,698.50

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Solution

The third proportional to 88,290 and 188,698.50 is: 403,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,290 : 188,698.50 = 188,698.50 : x
  2. Step 2: Convert to fraction form
    88,290/188,698.50 = 188,698.50/x
  3. Step 3: Cross multiply
    88,290x = 188,698.50 × 188,698.50
  4. Step 4: Simplify right side
    88,290x = 35,607,123,902.25
  5. Step 5: Solve for x
    x = 35,607,123,902.25/88,290
  6. Step 6: Final answer
    x = 403,297.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.