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Finding the Third Proportional to 110,781,406.69 and 256,439,175.75

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Solution

The third proportional to 110,781,406.69 and 256,439,175.75 is: 593,610,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,781,406.69 : 256,439,175.75 = 256,439,175.75 : x
  2. Step 2: Convert to fraction form
    110,781,406.69/256,439,175.75 = 256,439,175.75/x
  3. Step 3: Cross multiply
    110,781,406.69x = 256,439,175.75 × 256,439,175.75
  4. Step 4: Simplify right side
    110,781,406.69x = 65,761,050,859,339,392
  5. Step 5: Solve for x
    x = 65,761,050,859,339,392/110,781,406.69
  6. Step 6: Final answer
    x = 593,610,903.00

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.