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Finding the Third Proportional to 88,012 and 207,700

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Solution

The third proportional to 88,012 and 207,700 is: 490,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,012 : 207,700 = 207,700 : x
  2. Step 2: Convert to fraction form
    88,012/207,700 = 207,700/x
  3. Step 3: Cross multiply
    88,012x = 207,700 × 207,700
  4. Step 4: Simplify right side
    88,012x = 43,139,290,000
  5. Step 5: Solve for x
    x = 43,139,290,000/88,012
  6. Step 6: Final answer
    x = 490,152.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.