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Finding the Third Proportional to 206,864,590.50 and 308,502,996

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Solution

The third proportional to 206,864,590.50 and 308,502,996 is: 460,079,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864,590.50 : 308,502,996 = 308,502,996 : x
  2. Step 2: Convert to fraction form
    206,864,590.50/308,502,996 = 308,502,996/x
  3. Step 3: Cross multiply
    206,864,590.50x = 308,502,996 × 308,502,996
  4. Step 4: Simplify right side
    206,864,590.50x = 95,174,098,540,976,016
  5. Step 5: Solve for x
    x = 95,174,098,540,976,016/206,864,590.50
  6. Step 6: Final answer
    x = 460,079,215.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.