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Finding the Third Proportional to 109,369,311 and 237,515,757

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Solution

The third proportional to 109,369,311 and 237,515,757 is: 515,809,547.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,369,311 : 237,515,757 = 237,515,757 : x
  2. Step 2: Convert to fraction form
    109,369,311/237,515,757 = 237,515,757/x
  3. Step 3: Cross multiply
    109,369,311x = 237,515,757 × 237,515,757
  4. Step 4: Simplify right side
    109,369,311x = 56,413,734,823,283,048
  5. Step 5: Solve for x
    x = 56,413,734,823,283,048/109,369,311
  6. Step 6: Final answer
    x = 515,809,547.55

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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.