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Finding the Third Proportional to 68,884,078,148 and 107,822,396,100

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Solution

The third proportional to 68,884,078,148 and 107,822,396,100 is: 168,771,498,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,884,078,148 : 107,822,396,100 = 107,822,396,100 : x
  2. Step 2: Convert to fraction form
    68,884,078,148/107,822,396,100 = 107,822,396,100/x
  3. Step 3: Cross multiply
    68,884,078,148x = 107,822,396,100 × 107,822,396,100
  4. Step 4: Simplify right side
    68,884,078,148x = 11,625,669,100,745,294,610,432
  5. Step 5: Solve for x
    x = 11,625,669,100,745,294,610,432/68,884,078,148
  6. Step 6: Final answer
    x = 168,771,498,629.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.