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Finding the Third Proportional to 109,075,736 and 173,645,009

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Solution

The third proportional to 109,075,736 and 173,645,009 is: 276,437,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,075,736 : 173,645,009 = 173,645,009 : x
  2. Step 2: Convert to fraction form
    109,075,736/173,645,009 = 173,645,009/x
  3. Step 3: Cross multiply
    109,075,736x = 173,645,009 × 173,645,009
  4. Step 4: Simplify right side
    109,075,736x = 30,152,589,150,610,080
  5. Step 5: Solve for x
    x = 30,152,589,150,610,080/109,075,736
  6. Step 6: Final answer
    x = 276,437,182.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.