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Finding the Third Proportional to 175,181,818 and 413,533,198

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Solution

The third proportional to 175,181,818 and 413,533,198 is: 976,184,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,181,818 : 413,533,198 = 413,533,198 : x
  2. Step 2: Convert to fraction form
    175,181,818/413,533,198 = 413,533,198/x
  3. Step 3: Cross multiply
    175,181,818x = 413,533,198 × 413,533,198
  4. Step 4: Simplify right side
    175,181,818x = 171,009,705,848,107,200
  5. Step 5: Solve for x
    x = 171,009,705,848,107,200/175,181,818
  6. Step 6: Final answer
    x = 976,184,102.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.