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Finding the Third Proportional to 177,590,042,212 and 255,259,224,726

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Solution

The third proportional to 177,590,042,212 and 255,259,224,726 is: 366,897,101,865.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,590,042,212 : 255,259,224,726 = 255,259,224,726 : x
  2. Step 2: Convert to fraction form
    177,590,042,212/255,259,224,726 = 255,259,224,726/x
  3. Step 3: Cross multiply
    177,590,042,212x = 255,259,224,726 × 255,259,224,726
  4. Step 4: Simplify right side
    177,590,042,212x = 65,157,271,807,718,569,541,632
  5. Step 5: Solve for x
    x = 65,157,271,807,718,569,541,632/177,590,042,212
  6. Step 6: Final answer
    x = 366,897,101,865.30

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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.