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Finding the Third Proportional to 176,212,570 and 373,431,123

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Solution

The third proportional to 176,212,570 and 373,431,123 is: 791,378,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,212,570 : 373,431,123 = 373,431,123 : x
  2. Step 2: Convert to fraction form
    176,212,570/373,431,123 = 373,431,123/x
  3. Step 3: Cross multiply
    176,212,570x = 373,431,123 × 373,431,123
  4. Step 4: Simplify right side
    176,212,570x = 139,450,803,625,041,136
  5. Step 5: Solve for x
    x = 139,450,803,625,041,136/176,212,570
  6. Step 6: Final answer
    x = 791,378,297.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.