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Finding the Third Proportional to 122,049,853 and 184,209,773

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Solution

The third proportional to 122,049,853 and 184,209,773 is: 278,027,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,049,853 : 184,209,773 = 184,209,773 : x
  2. Step 2: Convert to fraction form
    122,049,853/184,209,773 = 184,209,773/x
  3. Step 3: Cross multiply
    122,049,853x = 184,209,773 × 184,209,773
  4. Step 4: Simplify right side
    122,049,853x = 33,933,240,468,711,528
  5. Step 5: Solve for x
    x = 33,933,240,468,711,528/122,049,853
  6. Step 6: Final answer
    x = 278,027,704.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.