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Finding the Third Proportional to 94,532,210 and 205,198,000

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Solution

The third proportional to 94,532,210 and 205,198,000 is: 445,416,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,532,210 : 205,198,000 = 205,198,000 : x
  2. Step 2: Convert to fraction form
    94,532,210/205,198,000 = 205,198,000/x
  3. Step 3: Cross multiply
    94,532,210x = 205,198,000 × 205,198,000
  4. Step 4: Simplify right side
    94,532,210x = 42,106,219,204,000,000
  5. Step 5: Solve for x
    x = 42,106,219,204,000,000/94,532,210
  6. Step 6: Final answer
    x = 445,416,638.46

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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.