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Finding the Third Proportional to 199,101,238,338 and 291,092,972,652

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Solution

The third proportional to 199,101,238,338 and 291,092,972,652 is: 425,588,104,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,101,238,338 : 291,092,972,652 = 291,092,972,652 : x
  2. Step 2: Convert to fraction form
    199,101,238,338/291,092,972,652 = 291,092,972,652/x
  3. Step 3: Cross multiply
    199,101,238,338x = 291,092,972,652 × 291,092,972,652
  4. Step 4: Simplify right side
    199,101,238,338x = 84,735,118,727,378,026,627,072
  5. Step 5: Solve for x
    x = 84,735,118,727,378,026,627,072/199,101,238,338
  6. Step 6: Final answer
    x = 425,588,104,999.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.