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Finding the Third Proportional to 184,962,717 and 288,031,099.50

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Solution

The third proportional to 184,962,717 and 288,031,099.50 is: 448,533,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,962,717 : 288,031,099.50 = 288,031,099.50 : x
  2. Step 2: Convert to fraction form
    184,962,717/288,031,099.50 = 288,031,099.50/x
  3. Step 3: Cross multiply
    184,962,717x = 288,031,099.50 × 288,031,099.50
  4. Step 4: Simplify right side
    184,962,717x = 82,961,914,279,178,896
  5. Step 5: Solve for x
    x = 82,961,914,279,178,896/184,962,717
  6. Step 6: Final answer
    x = 448,533,172.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.