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Finding the Third Proportional to 206,093,135.50 and 444,470,398.50

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Solution

The third proportional to 206,093,135.50 and 444,470,398.50 is: 958,566,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,093,135.50 : 444,470,398.50 = 444,470,398.50 : x
  2. Step 2: Convert to fraction form
    206,093,135.50/444,470,398.50 = 444,470,398.50/x
  3. Step 3: Cross multiply
    206,093,135.50x = 444,470,398.50 × 444,470,398.50
  4. Step 4: Simplify right side
    206,093,135.50x = 197,553,935,142,748,800
  5. Step 5: Solve for x
    x = 197,553,935,142,748,800/206,093,135.50
  6. Step 6: Final answer
    x = 958,566,303.84

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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.