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Finding the Third Proportional to 117,117,144 and 254,395,350

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Solution

The third proportional to 117,117,144 and 254,395,350 is: 552,583,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,117,144 : 254,395,350 = 254,395,350 : x
  2. Step 2: Convert to fraction form
    117,117,144/254,395,350 = 254,395,350/x
  3. Step 3: Cross multiply
    117,117,144x = 254,395,350 × 254,395,350
  4. Step 4: Simplify right side
    117,117,144x = 64,716,994,101,622,496
  5. Step 5: Solve for x
    x = 64,716,994,101,622,496/117,117,144
  6. Step 6: Final answer
    x = 552,583,438.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.