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Finding the Third Proportional to 140,883,225.75 and 306,777,388.50

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Solution

The third proportional to 140,883,225.75 and 306,777,388.50 is: 668,016,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,883,225.75 : 306,777,388.50 = 306,777,388.50 : x
  2. Step 2: Convert to fraction form
    140,883,225.75/306,777,388.50 = 306,777,388.50/x
  3. Step 3: Cross multiply
    140,883,225.75x = 306,777,388.50 × 306,777,388.50
  4. Step 4: Simplify right side
    140,883,225.75x = 94,112,366,094,879,936
  5. Step 5: Solve for x
    x = 94,112,366,094,879,936/140,883,225.75
  6. Step 6: Final answer
    x = 668,016,831.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.