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Finding the Third Proportional to 136,508,815 and 193,155,787.50

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Solution

The third proportional to 136,508,815 and 193,155,787.50 is: 273,309,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,508,815 : 193,155,787.50 = 193,155,787.50 : x
  2. Step 2: Convert to fraction form
    136,508,815/193,155,787.50 = 193,155,787.50/x
  3. Step 3: Cross multiply
    136,508,815x = 193,155,787.50 × 193,155,787.50
  4. Step 4: Simplify right side
    136,508,815x = 37,309,158,244,745,160
  5. Step 5: Solve for x
    x = 37,309,158,244,745,160/136,508,815
  6. Step 6: Final answer
    x = 273,309,516.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.