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Finding the Third Proportional to 235,919,344.50 and 517,188,321

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Solution

The third proportional to 235,919,344.50 and 517,188,321 is: 1,133,793,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,919,344.50 : 517,188,321 = 517,188,321 : x
  2. Step 2: Convert to fraction form
    235,919,344.50/517,188,321 = 517,188,321/x
  3. Step 3: Cross multiply
    235,919,344.50x = 517,188,321 × 517,188,321
  4. Step 4: Simplify right side
    235,919,344.50x = 267,483,759,378,799,040
  5. Step 5: Solve for x
    x = 267,483,759,378,799,040/235,919,344.50
  6. Step 6: Final answer
    x = 1,133,793,245.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.