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Finding the Third Proportional to 164,130,138 and 355,496,580

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Solution

The third proportional to 164,130,138 and 355,496,580 is: 769,985,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,130,138 : 355,496,580 = 355,496,580 : x
  2. Step 2: Convert to fraction form
    164,130,138/355,496,580 = 355,496,580/x
  3. Step 3: Cross multiply
    164,130,138x = 355,496,580 × 355,496,580
  4. Step 4: Simplify right side
    164,130,138x = 126,377,818,391,696,400
  5. Step 5: Solve for x
    x = 126,377,818,391,696,400/164,130,138
  6. Step 6: Final answer
    x = 769,985,451.37

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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.