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Finding the Third Proportional to 193,728,486.75 and 298,175,397.75

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Solution

The third proportional to 193,728,486.75 and 298,175,397.75 is: 458,933,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,728,486.75 : 298,175,397.75 = 298,175,397.75 : x
  2. Step 2: Convert to fraction form
    193,728,486.75/298,175,397.75 = 298,175,397.75/x
  3. Step 3: Cross multiply
    193,728,486.75x = 298,175,397.75 × 298,175,397.75
  4. Step 4: Simplify right side
    193,728,486.75x = 88,908,567,823,370,704
  5. Step 5: Solve for x
    x = 88,908,567,823,370,704/193,728,486.75
  6. Step 6: Final answer
    x = 458,933,888.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.