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Finding the Third Proportional to 98,846,004.75 and 205,873,432.88

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Solution

The third proportional to 98,846,004.75 and 205,873,432.88 is: 428,786,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,846,004.75 : 205,873,432.88 = 205,873,432.88 : x
  2. Step 2: Convert to fraction form
    98,846,004.75/205,873,432.88 = 205,873,432.88/x
  3. Step 3: Cross multiply
    98,846,004.75x = 205,873,432.88 × 205,873,432.88
  4. Step 4: Simplify right side
    98,846,004.75x = 42,383,870,363,737,128
  5. Step 5: Solve for x
    x = 42,383,870,363,737,128/98,846,004.75
  6. Step 6: Final answer
    x = 428,786,883.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.