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Finding the Third Proportional to 73,269,688 and 113,937,846

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Solution

The third proportional to 73,269,688 and 113,937,846 is: 177,178,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,269,688 : 113,937,846 = 113,937,846 : x
  2. Step 2: Convert to fraction form
    73,269,688/113,937,846 = 113,937,846/x
  3. Step 3: Cross multiply
    73,269,688x = 113,937,846 × 113,937,846
  4. Step 4: Simplify right side
    73,269,688x = 12,981,832,751,119,716
  5. Step 5: Solve for x
    x = 12,981,832,751,119,716/73,269,688
  6. Step 6: Final answer
    x = 177,178,763.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.