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Finding the Third Proportional to 88,798.50 and 190,233

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Solution

The third proportional to 88,798.50 and 190,233 is: 407,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,798.50 : 190,233 = 190,233 : x
  2. Step 2: Convert to fraction form
    88,798.50/190,233 = 190,233/x
  3. Step 3: Cross multiply
    88,798.50x = 190,233 × 190,233
  4. Step 4: Simplify right side
    88,798.50x = 36,188,594,289
  5. Step 5: Solve for x
    x = 36,188,594,289/88,798.50
  6. Step 6: Final answer
    x = 407,536.10

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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.