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Finding the Third Proportional to 94,008,843.20 and 206,178,012.21

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Solution

The third proportional to 94,008,843.20 and 206,178,012.21 is: 452,184,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,008,843.20 : 206,178,012.21 = 206,178,012.21 : x
  2. Step 2: Convert to fraction form
    94,008,843.20/206,178,012.21 = 206,178,012.21/x
  3. Step 3: Cross multiply
    94,008,843.20x = 206,178,012.21 × 206,178,012.21
  4. Step 4: Simplify right side
    94,008,843.20x = 42,509,372,717,440,152
  5. Step 5: Solve for x
    x = 42,509,372,717,440,152/94,008,843.20
  6. Step 6: Final answer
    x = 452,184,829.34

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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.