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Finding the Third Proportional to 42,084,180 and 90,560,232

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Solution

The third proportional to 42,084,180 and 90,560,232 is: 194,875,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,084,180 : 90,560,232 = 90,560,232 : x
  2. Step 2: Convert to fraction form
    42,084,180/90,560,232 = 90,560,232/x
  3. Step 3: Cross multiply
    42,084,180x = 90,560,232 × 90,560,232
  4. Step 4: Simplify right side
    42,084,180x = 8,201,155,619,893,824
  5. Step 5: Solve for x
    x = 8,201,155,619,893,824/42,084,180
  6. Step 6: Final answer
    x = 194,875,024.77

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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.