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Finding the Third Proportional to 161,916,256.13 and 349,685,245.13

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Solution

The third proportional to 161,916,256.13 and 349,685,245.13 is: 755,203,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,916,256.13 : 349,685,245.13 = 349,685,245.13 : x
  2. Step 2: Convert to fraction form
    161,916,256.13/349,685,245.13 = 349,685,245.13/x
  3. Step 3: Cross multiply
    161,916,256.13x = 349,685,245.13 × 349,685,245.13
  4. Step 4: Simplify right side
    161,916,256.13x = 122,279,770,658,131,344
  5. Step 5: Solve for x
    x = 122,279,770,658,131,344/161,916,256.13
  6. Step 6: Final answer
    x = 755,203,792.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.