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Finding the Third Proportional to 205,801,092,516 and 445,792,028,640

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Solution

The third proportional to 205,801,092,516 and 445,792,028,640 is: 965,643,721,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,801,092,516 : 445,792,028,640 = 445,792,028,640 : x
  2. Step 2: Convert to fraction form
    205,801,092,516/445,792,028,640 = 445,792,028,640/x
  3. Step 3: Cross multiply
    205,801,092,516x = 445,792,028,640 × 445,792,028,640
  4. Step 4: Simplify right side
    205,801,092,516x = 198,730,532,798,966,569,893,888
  5. Step 5: Solve for x
    x = 198,730,532,798,966,569,893,888/205,801,092,516
  6. Step 6: Final answer
    x = 965,643,721,174.69

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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.