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Finding the Third Proportional to 161,231,512,913 and 349,291,894,696

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Solution

The third proportional to 161,231,512,913 and 349,291,894,696 is: 756,705,841,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,231,512,913 : 349,291,894,696 = 349,291,894,696 : x
  2. Step 2: Convert to fraction form
    161,231,512,913/349,291,894,696 = 349,291,894,696/x
  3. Step 3: Cross multiply
    161,231,512,913x = 349,291,894,696 × 349,291,894,696
  4. Step 4: Simplify right side
    161,231,512,913x = 122,004,827,700,321,545,355,264
  5. Step 5: Solve for x
    x = 122,004,827,700,321,545,355,264/161,231,512,913
  6. Step 6: Final answer
    x = 756,705,841,780.17

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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.