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Finding the Third Proportional to 98,209,761 and 136,552,824

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Solution

The third proportional to 98,209,761 and 136,552,824 is: 189,865,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,209,761 : 136,552,824 = 136,552,824 : x
  2. Step 2: Convert to fraction form
    98,209,761/136,552,824 = 136,552,824/x
  3. Step 3: Cross multiply
    98,209,761x = 136,552,824 × 136,552,824
  4. Step 4: Simplify right side
    98,209,761x = 18,646,673,742,374,976
  5. Step 5: Solve for x
    x = 18,646,673,742,374,976/98,209,761
  6. Step 6: Final answer
    x = 189,865,788.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.