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Finding the Third Proportional to 235,919,365 and 517,188,361

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Solution

The third proportional to 235,919,365 and 517,188,361 is: 1,133,793,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,919,365 : 517,188,361 = 517,188,361 : x
  2. Step 2: Convert to fraction form
    235,919,365/517,188,361 = 517,188,361/x
  3. Step 3: Cross multiply
    235,919,365x = 517,188,361 × 517,188,361
  4. Step 4: Simplify right side
    235,919,365x = 267,483,800,753,866,336
  5. Step 5: Solve for x
    x = 267,483,800,753,866,336/235,919,365
  6. Step 6: Final answer
    x = 1,133,793,322.79

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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.