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Finding the Third Proportional to 141,381,348.75 and 311,106,217.50

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Solution

The third proportional to 141,381,348.75 and 311,106,217.50 is: 684,581,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,381,348.75 : 311,106,217.50 = 311,106,217.50 : x
  2. Step 2: Convert to fraction form
    141,381,348.75/311,106,217.50 = 311,106,217.50/x
  3. Step 3: Cross multiply
    141,381,348.75x = 311,106,217.50 × 311,106,217.50
  4. Step 4: Simplify right side
    141,381,348.75x = 96,787,078,567,157,312
  5. Step 5: Solve for x
    x = 96,787,078,567,157,312/141,381,348.75
  6. Step 6: Final answer
    x = 684,581,661.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.