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Finding the Third Proportional to 184,202,201.25 and 403,014,771

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Solution

The third proportional to 184,202,201.25 and 403,014,771 is: 881,753,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,202,201.25 : 403,014,771 = 403,014,771 : x
  2. Step 2: Convert to fraction form
    184,202,201.25/403,014,771 = 403,014,771/x
  3. Step 3: Cross multiply
    184,202,201.25x = 403,014,771 × 403,014,771
  4. Step 4: Simplify right side
    184,202,201.25x = 162,420,905,644,182,432
  5. Step 5: Solve for x
    x = 162,420,905,644,182,432/184,202,201.25
  6. Step 6: Final answer
    x = 881,753,337.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.