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Finding the Third Proportional to 109,460,038 and 237,972,734

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Solution

The third proportional to 109,460,038 and 237,972,734 is: 517,367,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,460,038 : 237,972,734 = 237,972,734 : x
  2. Step 2: Convert to fraction form
    109,460,038/237,972,734 = 237,972,734/x
  3. Step 3: Cross multiply
    109,460,038x = 237,972,734 × 237,972,734
  4. Step 4: Simplify right side
    109,460,038x = 56,631,022,127,434,752
  5. Step 5: Solve for x
    x = 56,631,022,127,434,752/109,460,038
  6. Step 6: Final answer
    x = 517,367,097.27

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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.