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Finding the Third Proportional to 85,556,296 and 184,748,784

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Solution

The third proportional to 85,556,296 and 184,748,784 is: 398,943,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,556,296 : 184,748,784 = 184,748,784 : x
  2. Step 2: Convert to fraction form
    85,556,296/184,748,784 = 184,748,784/x
  3. Step 3: Cross multiply
    85,556,296x = 184,748,784 × 184,748,784
  4. Step 4: Simplify right side
    85,556,296x = 34,132,113,189,478,656
  5. Step 5: Solve for x
    x = 34,132,113,189,478,656/85,556,296
  6. Step 6: Final answer
    x = 398,943,324.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.