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Finding the Third Proportional to 170,805,895,434 and 355,749,290,388

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Solution

The third proportional to 170,805,895,434 and 355,749,290,388 is: 740,943,732,006.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,805,895,434 : 355,749,290,388 = 355,749,290,388 : x
  2. Step 2: Convert to fraction form
    170,805,895,434/355,749,290,388 = 355,749,290,388/x
  3. Step 3: Cross multiply
    170,805,895,434x = 355,749,290,388 × 355,749,290,388
  4. Step 4: Simplify right side
    170,805,895,434x = 126,557,557,611,565,556,957,184
  5. Step 5: Solve for x
    x = 126,557,557,611,565,556,957,184/170,805,895,434
  6. Step 6: Final answer
    x = 740,943,732,006.42

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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.