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Finding the Third Proportional to 205,584,403 and 448,841,683

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Solution

The third proportional to 205,584,403 and 448,841,683 is: 979,932,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,584,403 : 448,841,683 = 448,841,683 : x
  2. Step 2: Convert to fraction form
    205,584,403/448,841,683 = 448,841,683/x
  3. Step 3: Cross multiply
    205,584,403x = 448,841,683 × 448,841,683
  4. Step 4: Simplify right side
    205,584,403x = 201,458,856,398,272,480
  5. Step 5: Solve for x
    x = 201,458,856,398,272,480/205,584,403
  6. Step 6: Final answer
    x = 979,932,589.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.