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Finding the Third Proportional to 92,712,674 and 193,055,211.25

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Solution

The third proportional to 92,712,674 and 193,055,211.25 is: 401,998,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,712,674 : 193,055,211.25 = 193,055,211.25 : x
  2. Step 2: Convert to fraction form
    92,712,674/193,055,211.25 = 193,055,211.25/x
  3. Step 3: Cross multiply
    92,712,674x = 193,055,211.25 × 193,055,211.25
  4. Step 4: Simplify right side
    92,712,674x = 37,270,314,590,782,128
  5. Step 5: Solve for x
    x = 37,270,314,590,782,128/92,712,674
  6. Step 6: Final answer
    x = 401,998,054.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.