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Finding the Third Proportional to 92,314,447.03 and 146,177,568.84

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Solution

The third proportional to 92,314,447.03 and 146,177,568.84 is: 231,468,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,314,447.03 : 146,177,568.84 = 146,177,568.84 : x
  2. Step 2: Convert to fraction form
    92,314,447.03/146,177,568.84 = 146,177,568.84/x
  3. Step 3: Cross multiply
    92,314,447.03x = 146,177,568.84 × 146,177,568.84
  4. Step 4: Simplify right side
    92,314,447.03x = 21,367,881,633,069,272
  5. Step 5: Solve for x
    x = 21,367,881,633,069,272/92,314,447.03
  6. Step 6: Final answer
    x = 231,468,446.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.