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Finding the Third Proportional to 321,468,601.50 and 681,565,185

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Solution

The third proportional to 321,468,601.50 and 681,565,185 is: 1,445,027,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,468,601.50 : 681,565,185 = 681,565,185 : x
  2. Step 2: Convert to fraction form
    321,468,601.50/681,565,185 = 681,565,185/x
  3. Step 3: Cross multiply
    321,468,601.50x = 681,565,185 × 681,565,185
  4. Step 4: Simplify right side
    321,468,601.50x = 464,531,101,404,084,224
  5. Step 5: Solve for x
    x = 464,531,101,404,084,224/321,468,601.50
  6. Step 6: Final answer
    x = 1,445,027,910.15

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.