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Finding the Third Proportional to 229,823,344.50 and 322,487,648.25

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Solution

The third proportional to 229,823,344.50 and 322,487,648.25 is: 452,514,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,823,344.50 : 322,487,648.25 = 322,487,648.25 : x
  2. Step 2: Convert to fraction form
    229,823,344.50/322,487,648.25 = 322,487,648.25/x
  3. Step 3: Cross multiply
    229,823,344.50x = 322,487,648.25 × 322,487,648.25
  4. Step 4: Simplify right side
    229,823,344.50x = 103,998,283,273,815,728
  5. Step 5: Solve for x
    x = 103,998,283,273,815,728/229,823,344.50
  6. Step 6: Final answer
    x = 452,514,010.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.