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Finding the Third Proportional to 102,133,214 and 218,465,867

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Solution

The third proportional to 102,133,214 and 218,465,867 is: 467,304,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,133,214 : 218,465,867 = 218,465,867 : x
  2. Step 2: Convert to fraction form
    102,133,214/218,465,867 = 218,465,867/x
  3. Step 3: Cross multiply
    102,133,214x = 218,465,867 × 218,465,867
  4. Step 4: Simplify right side
    102,133,214x = 47,727,335,044,061,688
  5. Step 5: Solve for x
    x = 47,727,335,044,061,688/102,133,214
  6. Step 6: Final answer
    x = 467,304,740.30

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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.