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Finding the Third Proportional to 176,933,993,282 and 389,932,768,748

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Solution

The third proportional to 176,933,993,282 and 389,932,768,748 is: 859,346,252,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,933,993,282 : 389,932,768,748 = 389,932,768,748 : x
  2. Step 2: Convert to fraction form
    176,933,993,282/389,932,768,748 = 389,932,768,748/x
  3. Step 3: Cross multiply
    176,933,993,282x = 389,932,768,748 × 389,932,768,748
  4. Step 4: Simplify right side
    176,933,993,282x = 152,047,564,143,481,239,633,920
  5. Step 5: Solve for x
    x = 152,047,564,143,481,239,633,920/176,933,993,282
  6. Step 6: Final answer
    x = 859,346,252,933.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.