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Finding the Third Proportional to 102,146.06 and 218,365.88

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Solution

The third proportional to 102,146.06 and 218,365.88 is: 466,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,146.06 : 218,365.88 = 218,365.88 : x
  2. Step 2: Convert to fraction form
    102,146.06/218,365.88 = 218,365.88/x
  3. Step 3: Cross multiply
    102,146.06x = 218,365.88 × 218,365.88
  4. Step 4: Simplify right side
    102,146.06x = 47,683,655,364.52
  5. Step 5: Solve for x
    x = 47,683,655,364.52/102,146.06
  6. Step 6: Final answer
    x = 466,818.34

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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.