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Finding the Third Proportional to 126,203,683 and 193,864,310

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Solution

The third proportional to 126,203,683 and 193,864,310 is: 297,799,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,203,683 : 193,864,310 = 193,864,310 : x
  2. Step 2: Convert to fraction form
    126,203,683/193,864,310 = 193,864,310/x
  3. Step 3: Cross multiply
    126,203,683x = 193,864,310 × 193,864,310
  4. Step 4: Simplify right side
    126,203,683x = 37,583,370,691,776,096
  5. Step 5: Solve for x
    x = 37,583,370,691,776,096/126,203,683
  6. Step 6: Final answer
    x = 297,799,317.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.