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Finding the Third Proportional to 111,073,313,564 and 169,208,716,998

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Solution

The third proportional to 111,073,313,564 and 169,208,716,998 is: 257,771,997,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,073,313,564 : 169,208,716,998 = 169,208,716,998 : x
  2. Step 2: Convert to fraction form
    111,073,313,564/169,208,716,998 = 169,208,716,998/x
  3. Step 3: Cross multiply
    111,073,313,564x = 169,208,716,998 × 169,208,716,998
  4. Step 4: Simplify right side
    111,073,313,564x = 28,631,589,908,109,254,983,680
  5. Step 5: Solve for x
    x = 28,631,589,908,109,254,983,680/111,073,313,564
  6. Step 6: Final answer
    x = 257,771,997,515.96

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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.