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Finding the Third Proportional to 109,409,796 and 173,247,642

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Solution

The third proportional to 109,409,796 and 173,247,642 is: 274,333,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409,796 : 173,247,642 = 173,247,642 : x
  2. Step 2: Convert to fraction form
    109,409,796/173,247,642 = 173,247,642/x
  3. Step 3: Cross multiply
    109,409,796x = 173,247,642 × 173,247,642
  4. Step 4: Simplify right side
    109,409,796x = 30,014,745,458,560,164
  5. Step 5: Solve for x
    x = 30,014,745,458,560,164/109,409,796
  6. Step 6: Final answer
    x = 274,333,254.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.