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Finding the Third Proportional to 126,765,722.25 and 275,213,328.75

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Solution

The third proportional to 126,765,722.25 and 275,213,328.75 is: 597,498,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,765,722.25 : 275,213,328.75 = 275,213,328.75 : x
  2. Step 2: Convert to fraction form
    126,765,722.25/275,213,328.75 = 275,213,328.75/x
  3. Step 3: Cross multiply
    126,765,722.25x = 275,213,328.75 × 275,213,328.75
  4. Step 4: Simplify right side
    126,765,722.25x = 75,742,376,321,655,584
  5. Step 5: Solve for x
    x = 75,742,376,321,655,584/126,765,722.25
  6. Step 6: Final answer
    x = 597,498,874.12

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