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Finding the Third Proportional to 84,311,289 and 195,168,478.50

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Solution

The third proportional to 84,311,289 and 195,168,478.50 is: 451,786,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,311,289 : 195,168,478.50 = 195,168,478.50 : x
  2. Step 2: Convert to fraction form
    84,311,289/195,168,478.50 = 195,168,478.50/x
  3. Step 3: Cross multiply
    84,311,289x = 195,168,478.50 × 195,168,478.50
  4. Step 4: Simplify right side
    84,311,289x = 38,090,735,000,004,960
  5. Step 5: Solve for x
    x = 38,090,735,000,004,960/84,311,289
  6. Step 6: Final answer
    x = 451,786,889.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.