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Finding the Third Proportional to 238,432,383 and 322,042,020.75

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Solution

The third proportional to 238,432,383 and 322,042,020.75 is: 434,970,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,432,383 : 322,042,020.75 = 322,042,020.75 : x
  2. Step 2: Convert to fraction form
    238,432,383/322,042,020.75 = 322,042,020.75/x
  3. Step 3: Cross multiply
    238,432,383x = 322,042,020.75 × 322,042,020.75
  4. Step 4: Simplify right side
    238,432,383x = 103,711,063,128,743,424
  5. Step 5: Solve for x
    x = 103,711,063,128,743,424/238,432,383
  6. Step 6: Final answer
    x = 434,970,543.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.