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Finding the Third Proportional to 96,038,949 and 206,643,971.25

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Solution

The third proportional to 96,038,949 and 206,643,971.25 is: 444,629,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,038,949 : 206,643,971.25 = 206,643,971.25 : x
  2. Step 2: Convert to fraction form
    96,038,949/206,643,971.25 = 206,643,971.25/x
  3. Step 3: Cross multiply
    96,038,949x = 206,643,971.25 × 206,643,971.25
  4. Step 4: Simplify right side
    96,038,949x = 42,701,730,853,970,824
  5. Step 5: Solve for x
    x = 42,701,730,853,970,824/96,038,949
  6. Step 6: Final answer
    x = 444,629,301.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.