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Finding the Third Proportional to 125,874,004 and 194,401,086

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Solution

The third proportional to 125,874,004 and 194,401,086 is: 300,235,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,874,004 : 194,401,086 = 194,401,086 : x
  2. Step 2: Convert to fraction form
    125,874,004/194,401,086 = 194,401,086/x
  3. Step 3: Cross multiply
    125,874,004x = 194,401,086 × 194,401,086
  4. Step 4: Simplify right side
    125,874,004x = 37,791,782,237,979,392
  5. Step 5: Solve for x
    x = 37,791,782,237,979,392/125,874,004
  6. Step 6: Final answer
    x = 300,235,005.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.