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Finding the Third Proportional to 233,139,561 and 505,615,703

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Solution

The third proportional to 233,139,561 and 505,615,703 is: 1,096,541,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,139,561 : 505,615,703 = 505,615,703 : x
  2. Step 2: Convert to fraction form
    233,139,561/505,615,703 = 505,615,703/x
  3. Step 3: Cross multiply
    233,139,561x = 505,615,703 × 505,615,703
  4. Step 4: Simplify right side
    233,139,561x = 255,647,239,120,184,224
  5. Step 5: Solve for x
    x = 255,647,239,120,184,224/233,139,561
  6. Step 6: Final answer
    x = 1,096,541,650.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.