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Finding the Third Proportional to 89,554,308,936 and 195,978,763,920

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Solution

The third proportional to 89,554,308,936 and 195,978,763,920 is: 428,875,800,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,554,308,936 : 195,978,763,920 = 195,978,763,920 : x
  2. Step 2: Convert to fraction form
    89,554,308,936/195,978,763,920 = 195,978,763,920/x
  3. Step 3: Cross multiply
    89,554,308,936x = 195,978,763,920 × 195,978,763,920
  4. Step 4: Simplify right side
    89,554,308,936x = 38,407,675,907,611,094,417,408
  5. Step 5: Solve for x
    x = 38,407,675,907,611,094,417,408/89,554,308,936
  6. Step 6: Final answer
    x = 428,875,800,214.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.