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Finding the Third Proportional to 100,251,119 and 159,519,237

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Solution

The third proportional to 100,251,119 and 159,519,237 is: 253,826,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251,119 : 159,519,237 = 159,519,237 : x
  2. Step 2: Convert to fraction form
    100,251,119/159,519,237 = 159,519,237/x
  3. Step 3: Cross multiply
    100,251,119x = 159,519,237 × 159,519,237
  4. Step 4: Simplify right side
    100,251,119x = 25,446,386,973,062,168
  5. Step 5: Solve for x
    x = 25,446,386,973,062,168/100,251,119
  6. Step 6: Final answer
    x = 253,826,463.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.