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Finding the Third Proportional to 109,460,041 and 237,972,742

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Solution

The third proportional to 109,460,041 and 237,972,742 is: 517,367,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,460,041 : 237,972,742 = 237,972,742 : x
  2. Step 2: Convert to fraction form
    109,460,041/237,972,742 = 237,972,742/x
  3. Step 3: Cross multiply
    109,460,041x = 237,972,742 × 237,972,742
  4. Step 4: Simplify right side
    109,460,041x = 56,631,025,934,998,560
  5. Step 5: Solve for x
    x = 56,631,025,934,998,560/109,460,041
  6. Step 6: Final answer
    x = 517,367,117.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.