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Finding the Third Proportional to 113,111,526 and 172,954,512

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Solution

The third proportional to 113,111,526 and 172,954,512 is: 264,458,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,111,526 : 172,954,512 = 172,954,512 : x
  2. Step 2: Convert to fraction form
    113,111,526/172,954,512 = 172,954,512/x
  3. Step 3: Cross multiply
    113,111,526x = 172,954,512 × 172,954,512
  4. Step 4: Simplify right side
    113,111,526x = 29,913,263,221,158,144
  5. Step 5: Solve for x
    x = 29,913,263,221,158,144/113,111,526
  6. Step 6: Final answer
    x = 264,458,135.07

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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.