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Finding the Third Proportional to 97,681,920 and 192,905,344

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Solution

The third proportional to 97,681,920 and 192,905,344 is: 380,955,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,681,920 : 192,905,344 = 192,905,344 : x
  2. Step 2: Convert to fraction form
    97,681,920/192,905,344 = 192,905,344/x
  3. Step 3: Cross multiply
    97,681,920x = 192,905,344 × 192,905,344
  4. Step 4: Simplify right side
    97,681,920x = 37,212,471,743,758,336
  5. Step 5: Solve for x
    x = 37,212,471,743,758,336/97,681,920
  6. Step 6: Final answer
    x = 380,955,572.37

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.