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Finding the Third Proportional to 254,662,965 and 545,629,992.75

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Solution

The third proportional to 254,662,965 and 545,629,992.75 is: 1,169,043,519.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,662,965 : 545,629,992.75 = 545,629,992.75 : x
  2. Step 2: Convert to fraction form
    254,662,965/545,629,992.75 = 545,629,992.75/x
  3. Step 3: Cross multiply
    254,662,965x = 545,629,992.75 × 545,629,992.75
  4. Step 4: Simplify right side
    254,662,965x = 297,712,088,988,365,056
  5. Step 5: Solve for x
    x = 297,712,088,988,365,056/254,662,965
  6. Step 6: Final answer
    x = 1,169,043,519.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.