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Finding the Third Proportional to 118,078,491 and 256,228,014

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Solution

The third proportional to 118,078,491 and 256,228,014 is: 556,009,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,078,491 : 256,228,014 = 256,228,014 : x
  2. Step 2: Convert to fraction form
    118,078,491/256,228,014 = 256,228,014/x
  3. Step 3: Cross multiply
    118,078,491x = 256,228,014 × 256,228,014
  4. Step 4: Simplify right side
    118,078,491x = 65,652,795,158,384,192
  5. Step 5: Solve for x
    x = 65,652,795,158,384,192/118,078,491
  6. Step 6: Final answer
    x = 556,009,774.54

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Why These Related Problems?

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