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Finding the Third Proportional to 200,012,577.75 and 300,551,370.75

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Solution

The third proportional to 200,012,577.75 and 300,551,370.75 is: 451,627,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012,577.75 : 300,551,370.75 = 300,551,370.75 : x
  2. Step 2: Convert to fraction form
    200,012,577.75/300,551,370.75 = 300,551,370.75/x
  3. Step 3: Cross multiply
    200,012,577.75x = 300,551,370.75 × 300,551,370.75
  4. Step 4: Simplify right side
    200,012,577.75x = 90,331,126,459,703,952
  5. Step 5: Solve for x
    x = 90,331,126,459,703,952/200,012,577.75
  6. Step 6: Final answer
    x = 451,627,230.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.