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Finding the Third Proportional to 99,050 and 213,502

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Solution

The third proportional to 99,050 and 213,502 is: 460,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,050 : 213,502 = 213,502 : x
  2. Step 2: Convert to fraction form
    99,050/213,502 = 213,502/x
  3. Step 3: Cross multiply
    99,050x = 213,502 × 213,502
  4. Step 4: Simplify right side
    99,050x = 45,583,104,004
  5. Step 5: Solve for x
    x = 45,583,104,004/99,050
  6. Step 6: Final answer
    x = 460,202.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.