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Finding the Third Proportional to 231,526,229,028 and 501,516,032,104

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Solution

The third proportional to 231,526,229,028 and 501,516,032,104 is: 1,086,349,186,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,526,229,028 : 501,516,032,104 = 501,516,032,104 : x
  2. Step 2: Convert to fraction form
    231,526,229,028/501,516,032,104 = 501,516,032,104/x
  3. Step 3: Cross multiply
    231,526,229,028x = 501,516,032,104 × 501,516,032,104
  4. Step 4: Simplify right side
    231,526,229,028x = 251,518,330,457,340,346,630,144
  5. Step 5: Solve for x
    x = 251,518,330,457,340,346,630,144/231,526,229,028
  6. Step 6: Final answer
    x = 1,086,349,186,065.32

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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.