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Finding the Third Proportional to 235,919,349 and 517,188,329

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Solution

The third proportional to 235,919,349 and 517,188,329 is: 1,133,793,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,919,349 : 517,188,329 = 517,188,329 : x
  2. Step 2: Convert to fraction form
    235,919,349/517,188,329 = 517,188,329/x
  3. Step 3: Cross multiply
    235,919,349x = 517,188,329 × 517,188,329
  4. Step 4: Simplify right side
    235,919,349x = 267,483,767,653,812,256
  5. Step 5: Solve for x
    x = 267,483,767,653,812,256/235,919,349
  6. Step 6: Final answer
    x = 1,133,793,259.38

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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.