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Finding the Third Proportional to 94,532,214 and 205,198,008

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Solution

The third proportional to 94,532,214 and 205,198,008 is: 445,416,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,532,214 : 205,198,008 = 205,198,008 : x
  2. Step 2: Convert to fraction form
    94,532,214/205,198,008 = 205,198,008/x
  3. Step 3: Cross multiply
    94,532,214x = 205,198,008 × 205,198,008
  4. Step 4: Simplify right side
    94,532,214x = 42,106,222,487,168,064
  5. Step 5: Solve for x
    x = 42,106,222,487,168,064/94,532,214
  6. Step 6: Final answer
    x = 445,416,654.34

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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.