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Finding the Third Proportional to 90,610,240 and 195,645,824

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Solution

The third proportional to 90,610,240 and 195,645,824 is: 422,438,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,610,240 : 195,645,824 = 195,645,824 : x
  2. Step 2: Convert to fraction form
    90,610,240/195,645,824 = 195,645,824/x
  3. Step 3: Cross multiply
    90,610,240x = 195,645,824 × 195,645,824
  4. Step 4: Simplify right side
    90,610,240x = 38,277,288,448,638,976
  5. Step 5: Solve for x
    x = 38,277,288,448,638,976/90,610,240
  6. Step 6: Final answer
    x = 422,438,881.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.