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Finding the Third Proportional to 144,311,624 and 315,085,194

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Solution

The third proportional to 144,311,624 and 315,085,194 is: 687,946,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,311,624 : 315,085,194 = 315,085,194 : x
  2. Step 2: Convert to fraction form
    144,311,624/315,085,194 = 315,085,194/x
  3. Step 3: Cross multiply
    144,311,624x = 315,085,194 × 315,085,194
  4. Step 4: Simplify right side
    144,311,624x = 99,278,679,478,017,632
  5. Step 5: Solve for x
    x = 99,278,679,478,017,632/144,311,624
  6. Step 6: Final answer
    x = 687,946,519.67

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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.