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Finding the Third Proportional to 227,386,524 and 500,112,280

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Solution

The third proportional to 227,386,524 and 500,112,280 is: 1,099,943,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,386,524 : 500,112,280 = 500,112,280 : x
  2. Step 2: Convert to fraction form
    227,386,524/500,112,280 = 500,112,280/x
  3. Step 3: Cross multiply
    227,386,524x = 500,112,280 × 500,112,280
  4. Step 4: Simplify right side
    227,386,524x = 250,112,292,606,798,400
  5. Step 5: Solve for x
    x = 250,112,292,606,798,400/227,386,524
  6. Step 6: Final answer
    x = 1,099,943,339.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.