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Finding the Third Proportional to 109,765,727 and 238,662,601

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Solution

The third proportional to 109,765,727 and 238,662,601 is: 518,921,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765,727 : 238,662,601 = 238,662,601 : x
  2. Step 2: Convert to fraction form
    109,765,727/238,662,601 = 238,662,601/x
  3. Step 3: Cross multiply
    109,765,727x = 238,662,601 × 238,662,601
  4. Step 4: Simplify right side
    109,765,727x = 56,959,837,116,085,200
  5. Step 5: Solve for x
    x = 56,959,837,116,085,200/109,765,727
  6. Step 6: Final answer
    x = 518,921,877.28

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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.