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Finding the Third Proportional to 161,231,512,911 and 349,291,894,692

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Solution

The third proportional to 161,231,512,911 and 349,291,894,692 is: 756,705,841,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,231,512,911 : 349,291,894,692 = 349,291,894,692 : x
  2. Step 2: Convert to fraction form
    161,231,512,911/349,291,894,692 = 349,291,894,692/x
  3. Step 3: Cross multiply
    161,231,512,911x = 349,291,894,692 × 349,291,894,692
  4. Step 4: Simplify right side
    161,231,512,911x = 122,004,827,697,527,216,144,384
  5. Step 5: Solve for x
    x = 122,004,827,697,527,216,144,384/161,231,512,911
  6. Step 6: Final answer
    x = 756,705,841,772.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.