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Finding the Third Proportional to 205,208,601,376.50 and 441,300,391,602.75

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Solution

The third proportional to 205,208,601,376.50 and 441,300,391,602.75 is: 949,014,974,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,208,601,376.50 : 441,300,391,602.75 = 441,300,391,602.75 : x
  2. Step 2: Convert to fraction form
    205,208,601,376.50/441,300,391,602.75 = 441,300,391,602.75/x
  3. Step 3: Cross multiply
    205,208,601,376.50x = 441,300,391,602.75 × 441,300,391,602.75
  4. Step 4: Simplify right side
    205,208,601,376.50x = 194,746,035,628,740,500,783,104
  5. Step 5: Solve for x
    x = 194,746,035,628,740,500,783,104/205,208,601,376.50
  6. Step 6: Final answer
    x = 949,014,974,627.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.