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Finding the Third Proportional to 184,856,296.50 and 390,338,736.75

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Solution

The third proportional to 184,856,296.50 and 390,338,736.75 is: 824,231,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,856,296.50 : 390,338,736.75 = 390,338,736.75 : x
  2. Step 2: Convert to fraction form
    184,856,296.50/390,338,736.75 = 390,338,736.75/x
  3. Step 3: Cross multiply
    184,856,296.50x = 390,338,736.75 × 390,338,736.75
  4. Step 4: Simplify right side
    184,856,296.50x = 152,364,329,407,585,792
  5. Step 5: Solve for x
    x = 152,364,329,407,585,792/184,856,296.50
  6. Step 6: Final answer
    x = 824,231,212.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.