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Finding the Third Proportional to 205,801,092,436.50 and 445,792,028,265

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Solution

The third proportional to 205,801,092,436.50 and 445,792,028,265 is: 965,643,719,923.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,801,092,436.50 : 445,792,028,265 = 445,792,028,265 : x
  2. Step 2: Convert to fraction form
    205,801,092,436.50/445,792,028,265 = 445,792,028,265/x
  3. Step 3: Cross multiply
    205,801,092,436.50x = 445,792,028,265 × 445,792,028,265
  4. Step 4: Simplify right side
    205,801,092,436.50x = 198,730,532,464,622,559,035,392
  5. Step 5: Solve for x
    x = 198,730,532,464,622,559,035,392/205,801,092,436.50
  6. Step 6: Final answer
    x = 965,643,719,923.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.