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Finding the Third Proportional to 206,093,125 and 444,470,374.75

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Solution

The third proportional to 206,093,125 and 444,470,374.75 is: 958,566,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,093,125 : 444,470,374.75 = 444,470,374.75 : x
  2. Step 2: Convert to fraction form
    206,093,125/444,470,374.75 = 444,470,374.75/x
  3. Step 3: Cross multiply
    206,093,125x = 444,470,374.75 × 444,470,374.75
  4. Step 4: Simplify right side
    206,093,125x = 197,553,914,030,405,440
  5. Step 5: Solve for x
    x = 197,553,914,030,405,440/206,093,125
  6. Step 6: Final answer
    x = 958,566,250.23

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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.