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Finding the Third Proportional to 85,556,082.94 and 184,750,662.38

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Solution

The third proportional to 85,556,082.94 and 184,750,662.38 is: 398,952,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,556,082.94 : 184,750,662.38 = 184,750,662.38 : x
  2. Step 2: Convert to fraction form
    85,556,082.94/184,750,662.38 = 184,750,662.38/x
  3. Step 3: Cross multiply
    85,556,082.94x = 184,750,662.38 × 184,750,662.38
  4. Step 4: Simplify right side
    85,556,082.94x = 34,132,807,248,001,240
  5. Step 5: Solve for x
    x = 34,132,807,248,001,240/85,556,082.94
  6. Step 6: Final answer
    x = 398,952,430.69

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Why These Related Problems?

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