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Finding the Third Proportional to 188,768,765.67 and 410,214,924.70

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Solution

The third proportional to 188,768,765.67 and 410,214,924.70 is: 891,441,356.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,768,765.67 : 410,214,924.70 = 410,214,924.70 : x
  2. Step 2: Convert to fraction form
    188,768,765.67/410,214,924.70 = 410,214,924.70/x
  3. Step 3: Cross multiply
    188,768,765.67x = 410,214,924.70 × 410,214,924.70
  4. Step 4: Simplify right side
    188,768,765.67x = 168,276,284,449,186,400
  5. Step 5: Solve for x
    x = 168,276,284,449,186,400/188,768,765.67
  6. Step 6: Final answer
    x = 891,441,356.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.