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Finding the Third Proportional to 157,440,944 and 217,029,234

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Solution

The third proportional to 157,440,944 and 217,029,234 is: 299,170,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,440,944 : 217,029,234 = 217,029,234 : x
  2. Step 2: Convert to fraction form
    157,440,944/217,029,234 = 217,029,234/x
  3. Step 3: Cross multiply
    157,440,944x = 217,029,234 × 217,029,234
  4. Step 4: Simplify right side
    157,440,944x = 47,101,688,410,626,752
  5. Step 5: Solve for x
    x = 47,101,688,410,626,752/157,440,944
  6. Step 6: Final answer
    x = 299,170,515.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.