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Finding the Third Proportional to 206,864,592 and 308,502,998.25

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Solution

The third proportional to 206,864,592 and 308,502,998.25 is: 460,079,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,864,592 : 308,502,998.25 = 308,502,998.25 : x
  2. Step 2: Convert to fraction form
    206,864,592/308,502,998.25 = 308,502,998.25/x
  3. Step 3: Cross multiply
    206,864,592x = 308,502,998.25 × 308,502,998.25
  4. Step 4: Simplify right side
    206,864,592x = 95,174,099,929,239,504
  5. Step 5: Solve for x
    x = 95,174,099,929,239,504/206,864,592
  6. Step 6: Final answer
    x = 460,079,219.02

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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.