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Finding the Third Proportional to 113,111,529 and 172,954,516

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Solution

The third proportional to 113,111,529 and 172,954,516 is: 264,458,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,111,529 : 172,954,516 = 172,954,516 : x
  2. Step 2: Convert to fraction form
    113,111,529/172,954,516 = 172,954,516/x
  3. Step 3: Cross multiply
    113,111,529x = 172,954,516 × 172,954,516
  4. Step 4: Simplify right side
    113,111,529x = 29,913,264,604,794,256
  5. Step 5: Solve for x
    x = 29,913,264,604,794,256/113,111,529
  6. Step 6: Final answer
    x = 264,458,140.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.