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Finding the Third Proportional to 113,111,534 and 172,954,524

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Solution

The third proportional to 113,111,534 and 172,954,524 is: 264,458,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,111,534 : 172,954,524 = 172,954,524 : x
  2. Step 2: Convert to fraction form
    113,111,534/172,954,524 = 172,954,524/x
  3. Step 3: Cross multiply
    113,111,534x = 172,954,524 × 172,954,524
  4. Step 4: Simplify right side
    113,111,534x = 29,913,267,372,066,576
  5. Step 5: Solve for x
    x = 29,913,267,372,066,576/113,111,534
  6. Step 6: Final answer
    x = 264,458,153.07

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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.