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Finding the Third Proportional to 145,143,383,588.50 and 201,810,273,364.50

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Solution

The third proportional to 145,143,383,588.50 and 201,810,273,364.50 is: 280,601,054,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143,383,588.50 : 201,810,273,364.50 = 201,810,273,364.50 : x
  2. Step 2: Convert to fraction form
    145,143,383,588.50/201,810,273,364.50 = 201,810,273,364.50/x
  3. Step 3: Cross multiply
    145,143,383,588.50x = 201,810,273,364.50 × 201,810,273,364.50
  4. Step 4: Simplify right side
    145,143,383,588.50x = 40,727,386,435,454,221,942,784
  5. Step 5: Solve for x
    x = 40,727,386,435,454,221,942,784/145,143,383,588.50
  6. Step 6: Final answer
    x = 280,601,054,133.63

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.