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Finding the Third Proportional to 188,771,822,136 and 404,469,340,272

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Solution

The third proportional to 188,771,822,136 and 404,469,340,272 is: 866,630,651,592.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,771,822,136 : 404,469,340,272 = 404,469,340,272 : x
  2. Step 2: Convert to fraction form
    188,771,822,136/404,469,340,272 = 404,469,340,272/x
  3. Step 3: Cross multiply
    188,771,822,136x = 404,469,340,272 × 404,469,340,272
  4. Step 4: Simplify right side
    188,771,822,136x = 163,595,447,220,066,911,780,864
  5. Step 5: Solve for x
    x = 163,595,447,220,066,911,780,864/188,771,822,136
  6. Step 6: Final answer
    x = 866,630,651,592.72

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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.