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Finding the Third Proportional to 170,805,895,436 and 355,749,290,392

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Solution

The third proportional to 170,805,895,436 and 355,749,290,392 is: 740,943,732,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,805,895,436 : 355,749,290,392 = 355,749,290,392 : x
  2. Step 2: Convert to fraction form
    170,805,895,436/355,749,290,392 = 355,749,290,392/x
  3. Step 3: Cross multiply
    170,805,895,436x = 355,749,290,392 × 355,749,290,392
  4. Step 4: Simplify right side
    170,805,895,436x = 126,557,557,614,411,543,216,128
  5. Step 5: Solve for x
    x = 126,557,557,614,411,543,216,128/170,805,895,436
  6. Step 6: Final answer
    x = 740,943,732,014.40

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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.