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Finding the Third Proportional to 49,937,010 and 109,420,264.50

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Solution

The third proportional to 49,937,010 and 109,420,264.50 is: 239,757,932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,937,010 : 109,420,264.50 = 109,420,264.50 : x
  2. Step 2: Convert to fraction form
    49,937,010/109,420,264.50 = 109,420,264.50/x
  3. Step 3: Cross multiply
    49,937,010x = 109,420,264.50 × 109,420,264.50
  4. Step 4: Simplify right side
    49,937,010x = 11,972,794,283,249,960
  5. Step 5: Solve for x
    x = 11,972,794,283,249,960/49,937,010
  6. Step 6: Final answer
    x = 239,757,932.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.