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Finding the Third Proportional to 136,508,864 and 193,155,835

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Solution

The third proportional to 136,508,864 and 193,155,835 is: 273,309,552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,508,864 : 193,155,835 = 193,155,835 : x
  2. Step 2: Convert to fraction form
    136,508,864/193,155,835 = 193,155,835/x
  3. Step 3: Cross multiply
    136,508,864x = 193,155,835 × 193,155,835
  4. Step 4: Simplify right side
    136,508,864x = 37,309,176,594,547,224
  5. Step 5: Solve for x
    x = 37,309,176,594,547,224/136,508,864
  6. Step 6: Final answer
    x = 273,309,552.96

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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.