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Finding the Third Proportional to 163,917,382 and 334,419,305

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Solution

The third proportional to 163,917,382 and 334,419,305 is: 682,272,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,917,382 : 334,419,305 = 334,419,305 : x
  2. Step 2: Convert to fraction form
    163,917,382/334,419,305 = 334,419,305/x
  3. Step 3: Cross multiply
    163,917,382x = 334,419,305 × 334,419,305
  4. Step 4: Simplify right side
    163,917,382x = 111,836,271,556,683,024
  5. Step 5: Solve for x
    x = 111,836,271,556,683,024/163,917,382
  6. Step 6: Final answer
    x = 682,272,192.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.