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Finding the Third Proportional to 136,508,838.75 and 193,155,822

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Solution

The third proportional to 136,508,838.75 and 193,155,822 is: 273,309,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,508,838.75 : 193,155,822 = 193,155,822 : x
  2. Step 2: Convert to fraction form
    136,508,838.75/193,155,822 = 193,155,822/x
  3. Step 3: Cross multiply
    136,508,838.75x = 193,155,822 × 193,155,822
  4. Step 4: Simplify right side
    136,508,838.75x = 37,309,171,572,495,680
  5. Step 5: Solve for x
    x = 37,309,171,572,495,680/136,508,838.75
  6. Step 6: Final answer
    x = 273,309,566.72

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