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Finding the Third Proportional to 176,933,993,284 and 389,932,768,752

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Solution

The third proportional to 176,933,993,284 and 389,932,768,752 is: 859,346,252,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,933,993,284 : 389,932,768,752 = 389,932,768,752 : x
  2. Step 2: Convert to fraction form
    176,933,993,284/389,932,768,752 = 389,932,768,752/x
  3. Step 3: Cross multiply
    176,933,993,284x = 389,932,768,752 × 389,932,768,752
  4. Step 4: Simplify right side
    176,933,993,284x = 152,047,564,146,600,694,513,664
  5. Step 5: Solve for x
    x = 152,047,564,146,600,694,513,664/176,933,993,284
  6. Step 6: Final answer
    x = 859,346,252,941.61

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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.