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Finding the Third Proportional to 150,409,255,840.50 and 227,548,352,880.50

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Solution

The third proportional to 150,409,255,840.50 and 227,548,352,880.50 is: 344,249,112,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,409,255,840.50 : 227,548,352,880.50 = 227,548,352,880.50 : x
  2. Step 2: Convert to fraction form
    150,409,255,840.50/227,548,352,880.50 = 227,548,352,880.50/x
  3. Step 3: Cross multiply
    150,409,255,840.50x = 227,548,352,880.50 × 227,548,352,880.50
  4. Step 4: Simplify right side
    150,409,255,840.50x = 51,778,252,898,628,555,243,520
  5. Step 5: Solve for x
    x = 51,778,252,898,628,555,243,520/150,409,255,840.50
  6. Step 6: Final answer
    x = 344,249,112,923.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.