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Finding the Third Proportional to 136,608,408 and 209,847,224

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Solution

The third proportional to 136,608,408 and 209,847,224 is: 322,351,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,608,408 : 209,847,224 = 209,847,224 : x
  2. Step 2: Convert to fraction form
    136,608,408/209,847,224 = 209,847,224/x
  3. Step 3: Cross multiply
    136,608,408x = 209,847,224 × 209,847,224
  4. Step 4: Simplify right side
    136,608,408x = 44,035,857,420,506,176
  5. Step 5: Solve for x
    x = 44,035,857,420,506,176/136,608,408
  6. Step 6: Final answer
    x = 322,351,003.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.