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Finding the Third Proportional to 94,532,216 and 205,198,012

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Solution

The third proportional to 94,532,216 and 205,198,012 is: 445,416,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,532,216 : 205,198,012 = 205,198,012 : x
  2. Step 2: Convert to fraction form
    94,532,216/205,198,012 = 205,198,012/x
  3. Step 3: Cross multiply
    94,532,216x = 205,198,012 × 205,198,012
  4. Step 4: Simplify right side
    94,532,216x = 42,106,224,128,752,144
  5. Step 5: Solve for x
    x = 42,106,224,128,752,144/94,532,216
  6. Step 6: Final answer
    x = 445,416,662.28

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