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Finding the Third Proportional to 231,526,228,896 and 501,516,031,608

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Solution

The third proportional to 231,526,228,896 and 501,516,031,608 is: 1,086,349,184,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,526,228,896 : 501,516,031,608 = 501,516,031,608 : x
  2. Step 2: Convert to fraction form
    231,526,228,896/501,516,031,608 = 501,516,031,608/x
  3. Step 3: Cross multiply
    231,526,228,896x = 501,516,031,608 × 501,516,031,608
  4. Step 4: Simplify right side
    231,526,228,896x = 251,518,329,959,836,467,331,072
  5. Step 5: Solve for x
    x = 251,518,329,959,836,467,331,072/231,526,228,896
  6. Step 6: Final answer
    x = 1,086,349,184,535.88

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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.