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Finding the Third Proportional to 188,771,822,138 and 404,469,340,276

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Solution

The third proportional to 188,771,822,138 and 404,469,340,276 is: 866,630,651,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,771,822,138 : 404,469,340,276 = 404,469,340,276 : x
  2. Step 2: Convert to fraction form
    188,771,822,138/404,469,340,276 = 404,469,340,276/x
  3. Step 3: Cross multiply
    188,771,822,138x = 404,469,340,276 × 404,469,340,276
  4. Step 4: Simplify right side
    188,771,822,138x = 163,595,447,223,302,666,321,920
  5. Step 5: Solve for x
    x = 163,595,447,223,302,666,321,920/188,771,822,138
  6. Step 6: Final answer
    x = 866,630,651,600.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.