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Finding the Third Proportional to 102,320 and 218,852

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Solution

The third proportional to 102,320 and 218,852 is: 468,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,320 : 218,852 = 218,852 : x
  2. Step 2: Convert to fraction form
    102,320/218,852 = 218,852/x
  3. Step 3: Cross multiply
    102,320x = 218,852 × 218,852
  4. Step 4: Simplify right side
    102,320x = 47,896,197,904
  5. Step 5: Solve for x
    x = 47,896,197,904/102,320
  6. Step 6: Final answer
    x = 468,102.01

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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.