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Finding the Third Proportional to 111,073,313,558 and 169,208,716,989

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Solution

The third proportional to 111,073,313,558 and 169,208,716,989 is: 257,771,997,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,073,313,558 : 169,208,716,989 = 169,208,716,989 : x
  2. Step 2: Convert to fraction form
    111,073,313,558/169,208,716,989 = 169,208,716,989/x
  3. Step 3: Cross multiply
    111,073,313,558x = 169,208,716,989 × 169,208,716,989
  4. Step 4: Simplify right side
    111,073,313,558x = 28,631,589,905,063,498,219,520
  5. Step 5: Solve for x
    x = 28,631,589,905,063,498,219,520/111,073,313,558
  6. Step 6: Final answer
    x = 257,771,997,502.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.