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Finding the Third Proportional to 89,370,642 and 192,849,372

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Solution

The third proportional to 89,370,642 and 192,849,372 is: 416,142,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,370,642 : 192,849,372 = 192,849,372 : x
  2. Step 2: Convert to fraction form
    89,370,642/192,849,372 = 192,849,372/x
  3. Step 3: Cross multiply
    89,370,642x = 192,849,372 × 192,849,372
  4. Step 4: Simplify right side
    89,370,642x = 37,190,880,280,794,384
  5. Step 5: Solve for x
    x = 37,190,880,280,794,384/89,370,642
  6. Step 6: Final answer
    x = 416,142,028.84

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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.