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Finding the Third Proportional to 150,209,576 and 321,977,136

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Solution

The third proportional to 150,209,576 and 321,977,136 is: 690,164,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,209,576 : 321,977,136 = 321,977,136 : x
  2. Step 2: Convert to fraction form
    150,209,576/321,977,136 = 321,977,136/x
  3. Step 3: Cross multiply
    150,209,576x = 321,977,136 × 321,977,136
  4. Step 4: Simplify right side
    150,209,576x = 103,669,276,106,762,496
  5. Step 5: Solve for x
    x = 103,669,276,106,762,496/150,209,576
  6. Step 6: Final answer
    x = 690,164,228.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.