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Finding the Third Proportional to 181,414,992 and 279,223,140

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Solution

The third proportional to 181,414,992 and 279,223,140 is: 429,763,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,414,992 : 279,223,140 = 279,223,140 : x
  2. Step 2: Convert to fraction form
    181,414,992/279,223,140 = 279,223,140/x
  3. Step 3: Cross multiply
    181,414,992x = 279,223,140 × 279,223,140
  4. Step 4: Simplify right side
    181,414,992x = 77,965,561,911,459,600
  5. Step 5: Solve for x
    x = 77,965,561,911,459,600/181,414,992
  6. Step 6: Final answer
    x = 429,763,610.23

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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.