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Finding the Third Proportional to 85,972,784.06 and 181,649,367.94

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Solution

The third proportional to 85,972,784.06 and 181,649,367.94 is: 383,801,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,972,784.06 : 181,649,367.94 = 181,649,367.94 : x
  2. Step 2: Convert to fraction form
    85,972,784.06/181,649,367.94 = 181,649,367.94/x
  3. Step 3: Cross multiply
    85,972,784.06x = 181,649,367.94 × 181,649,367.94
  4. Step 4: Simplify right side
    85,972,784.06x = 32,996,492,872,093,252
  5. Step 5: Solve for x
    x = 32,996,492,872,093,252/85,972,784.06
  6. Step 6: Final answer
    x = 383,801,609.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.