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Finding the Third Proportional to 231,526,229,026 and 501,516,032,100

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Solution

The third proportional to 231,526,229,026 and 501,516,032,100 is: 1,086,349,186,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,526,229,026 : 501,516,032,100 = 501,516,032,100 : x
  2. Step 2: Convert to fraction form
    231,526,229,026/501,516,032,100 = 501,516,032,100/x
  3. Step 3: Cross multiply
    231,526,229,026x = 501,516,032,100 × 501,516,032,100
  4. Step 4: Simplify right side
    231,526,229,026x = 251,518,330,453,328,243,195,904
  5. Step 5: Solve for x
    x = 251,518,330,453,328,243,195,904/231,526,229,026
  6. Step 6: Final answer
    x = 1,086,349,186,057.37

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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.