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Finding the Third Proportional to 227,386,522 and 500,112,276

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Solution

The third proportional to 227,386,522 and 500,112,276 is: 1,099,943,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,386,522 : 500,112,276 = 500,112,276 : x
  2. Step 2: Convert to fraction form
    227,386,522/500,112,276 = 500,112,276/x
  3. Step 3: Cross multiply
    227,386,522x = 500,112,276 × 500,112,276
  4. Step 4: Simplify right side
    227,386,522x = 250,112,288,605,900,160
  5. Step 5: Solve for x
    x = 250,112,288,605,900,160/227,386,522
  6. Step 6: Final answer
    x = 1,099,943,331.76

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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.