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Finding the Third Proportional to 170,805,894,118 and 355,749,288,278

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Solution

The third proportional to 170,805,894,118 and 355,749,288,278 is: 740,943,728,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,805,894,118 : 355,749,288,278 = 355,749,288,278 : x
  2. Step 2: Convert to fraction form
    170,805,894,118/355,749,288,278 = 355,749,288,278/x
  3. Step 3: Cross multiply
    170,805,894,118x = 355,749,288,278 × 355,749,288,278
  4. Step 4: Simplify right side
    170,805,894,118x = 126,557,556,110,303,543,951,360
  5. Step 5: Solve for x
    x = 126,557,556,110,303,543,951,360/170,805,894,118
  6. Step 6: Final answer
    x = 740,943,728,925.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.