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Finding the Third Proportional to 206,864,587.13 and 308,502,992.25

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Solution

The third proportional to 206,864,587.13 and 308,502,992.25 is: 460,079,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864,587.13 : 308,502,992.25 = 308,502,992.25 : x
  2. Step 2: Convert to fraction form
    206,864,587.13/308,502,992.25 = 308,502,992.25/x
  3. Step 3: Cross multiply
    206,864,587.13x = 308,502,992.25 × 308,502,992.25
  4. Step 4: Simplify right side
    206,864,587.13x = 95,174,096,227,203,568
  5. Step 5: Solve for x
    x = 95,174,096,227,203,568/206,864,587.13
  6. Step 6: Final answer
    x = 460,079,211.96

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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.