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Finding the Third Proportional to 94,008,865.50 and 206,178,069

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Solution

The third proportional to 94,008,865.50 and 206,178,069 is: 452,184,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,008,865.50 : 206,178,069 = 206,178,069 : x
  2. Step 2: Convert to fraction form
    94,008,865.50/206,178,069 = 206,178,069/x
  3. Step 3: Cross multiply
    94,008,865.50x = 206,178,069 × 206,178,069
  4. Step 4: Simplify right side
    94,008,865.50x = 42,509,396,136,568,760
  5. Step 5: Solve for x
    x = 42,509,396,136,568,760/94,008,865.50
  6. Step 6: Final answer
    x = 452,184,971.18

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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.