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Finding the Third Proportional to 164,130,136 and 355,496,576

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Solution

The third proportional to 164,130,136 and 355,496,576 is: 769,985,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,130,136 : 355,496,576 = 355,496,576 : x
  2. Step 2: Convert to fraction form
    164,130,136/355,496,576 = 355,496,576/x
  3. Step 3: Cross multiply
    164,130,136x = 355,496,576 × 355,496,576
  4. Step 4: Simplify right side
    164,130,136x = 126,377,815,547,723,776
  5. Step 5: Solve for x
    x = 126,377,815,547,723,776/164,130,136
  6. Step 6: Final answer
    x = 769,985,443.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.