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Finding the Third Proportional to 136,508,829 and 193,155,808.50

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Solution

The third proportional to 136,508,829 and 193,155,808.50 is: 273,309,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,508,829 : 193,155,808.50 = 193,155,808.50 : x
  2. Step 2: Convert to fraction form
    136,508,829/193,155,808.50 = 193,155,808.50/x
  3. Step 3: Cross multiply
    136,508,829x = 193,155,808.50 × 193,155,808.50
  4. Step 4: Simplify right side
    136,508,829x = 37,309,166,357,288,672
  5. Step 5: Solve for x
    x = 37,309,166,357,288,672/136,508,829
  6. Step 6: Final answer
    x = 273,309,548.04

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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.