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Finding the Third Proportional to 255,553,923 and 417,252,388.50

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Solution

The third proportional to 255,553,923 and 417,252,388.50 is: 681,263,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,553,923 : 417,252,388.50 = 417,252,388.50 : x
  2. Step 2: Convert to fraction form
    255,553,923/417,252,388.50 = 417,252,388.50/x
  3. Step 3: Cross multiply
    255,553,923x = 417,252,388.50 × 417,252,388.50
  4. Step 4: Simplify right side
    255,553,923x = 174,099,555,708,954,944
  5. Step 5: Solve for x
    x = 174,099,555,708,954,944/255,553,923
  6. Step 6: Final answer
    x = 681,263,483.12

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.