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Finding the Third Proportional to 85,446,988 and 183,633,800

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Solution

The third proportional to 85,446,988 and 183,633,800 is: 394,646,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,446,988 : 183,633,800 = 183,633,800 : x
  2. Step 2: Convert to fraction form
    85,446,988/183,633,800 = 183,633,800/x
  3. Step 3: Cross multiply
    85,446,988x = 183,633,800 × 183,633,800
  4. Step 4: Simplify right side
    85,446,988x = 33,721,372,502,440,000
  5. Step 5: Solve for x
    x = 33,721,372,502,440,000/85,446,988
  6. Step 6: Final answer
    x = 394,646,707.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.