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Finding the Third Proportional to 104,704,997.88 and 230,180,478.13

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Solution

The third proportional to 104,704,997.88 and 230,180,478.13 is: 506,022,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,704,997.88 : 230,180,478.13 = 230,180,478.13 : x
  2. Step 2: Convert to fraction form
    104,704,997.88/230,180,478.13 = 230,180,478.13/x
  3. Step 3: Cross multiply
    104,704,997.88x = 230,180,478.13 × 230,180,478.13
  4. Step 4: Simplify right side
    104,704,997.88x = 52,983,052,509,853,600
  5. Step 5: Solve for x
    x = 52,983,052,509,853,600/104,704,997.88
  6. Step 6: Final answer
    x = 506,022,191.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.