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Finding the Third Proportional to 214,370,979 and 465,030,850.50

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Solution

The third proportional to 214,370,979 and 465,030,850.50 is: 1,008,782,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,370,979 : 465,030,850.50 = 465,030,850.50 : x
  2. Step 2: Convert to fraction form
    214,370,979/465,030,850.50 = 465,030,850.50/x
  3. Step 3: Cross multiply
    214,370,979x = 465,030,850.50 × 465,030,850.50
  4. Step 4: Simplify right side
    214,370,979x = 216,253,691,916,753,344
  5. Step 5: Solve for x
    x = 216,253,691,916,753,344/214,370,979
  6. Step 6: Final answer
    x = 1,008,782,499.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.