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Finding the Third Proportional to 177,590,042,208 and 255,259,224,720

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Solution

The third proportional to 177,590,042,208 and 255,259,224,720 is: 366,897,101,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,590,042,208 : 255,259,224,720 = 255,259,224,720 : x
  2. Step 2: Convert to fraction form
    177,590,042,208/255,259,224,720 = 255,259,224,720/x
  3. Step 3: Cross multiply
    177,590,042,208x = 255,259,224,720 × 255,259,224,720
  4. Step 4: Simplify right side
    177,590,042,208x = 65,157,271,804,655,460,941,824
  5. Step 5: Solve for x
    x = 65,157,271,804,655,460,941,824/177,590,042,208
  6. Step 6: Final answer
    x = 366,897,101,856.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.