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Finding the Third Proportional to 153,520,944 and 219,536,760

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Solution

The third proportional to 153,520,944 and 219,536,760 is: 313,940,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,520,944 : 219,536,760 = 219,536,760 : x
  2. Step 2: Convert to fraction form
    153,520,944/219,536,760 = 219,536,760/x
  3. Step 3: Cross multiply
    153,520,944x = 219,536,760 × 219,536,760
  4. Step 4: Simplify right side
    153,520,944x = 48,196,388,991,297,600
  5. Step 5: Solve for x
    x = 48,196,388,991,297,600/153,520,944
  6. Step 6: Final answer
    x = 313,940,155.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.