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Finding the Third Proportional to 194,809,068 and 292,469,850

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Solution

The third proportional to 194,809,068 and 292,469,850 is: 439,089,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,809,068 : 292,469,850 = 292,469,850 : x
  2. Step 2: Convert to fraction form
    194,809,068/292,469,850 = 292,469,850/x
  3. Step 3: Cross multiply
    194,809,068x = 292,469,850 × 292,469,850
  4. Step 4: Simplify right side
    194,809,068x = 85,538,613,159,022,496
  5. Step 5: Solve for x
    x = 85,538,613,159,022,496/194,809,068
  6. Step 6: Final answer
    x = 439,089,484.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.