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Finding the Third Proportional to 135,162,558 and 209,384,541

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Solution

The third proportional to 135,162,558 and 209,384,541 is: 324,364,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,162,558 : 209,384,541 = 209,384,541 : x
  2. Step 2: Convert to fraction form
    135,162,558/209,384,541 = 209,384,541/x
  3. Step 3: Cross multiply
    135,162,558x = 209,384,541 × 209,384,541
  4. Step 4: Simplify right side
    135,162,558x = 43,841,886,009,780,680
  5. Step 5: Solve for x
    x = 43,841,886,009,780,680/135,162,558
  6. Step 6: Final answer
    x = 324,364,133.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.