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Finding the Third Proportional to 77,157,690 and 119,364,687

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Solution

The third proportional to 77,157,690 and 119,364,687 is: 184,659,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,157,690 : 119,364,687 = 119,364,687 : x
  2. Step 2: Convert to fraction form
    77,157,690/119,364,687 = 119,364,687/x
  3. Step 3: Cross multiply
    77,157,690x = 119,364,687 × 119,364,687
  4. Step 4: Simplify right side
    77,157,690x = 14,247,928,502,607,968
  5. Step 5: Solve for x
    x = 14,247,928,502,607,968/77,157,690
  6. Step 6: Final answer
    x = 184,659,863.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.