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Finding the Third Proportional to 229,575,930,144 and 323,152,621,344

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Solution

The third proportional to 229,575,930,144 and 323,152,621,344 is: 454,871,800,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,575,930,144 : 323,152,621,344 = 323,152,621,344 : x
  2. Step 2: Convert to fraction form
    229,575,930,144/323,152,621,344 = 323,152,621,344/x
  3. Step 3: Cross multiply
    229,575,930,144x = 323,152,621,344 × 323,152,621,344
  4. Step 4: Simplify right side
    229,575,930,144x = 104,427,616,681,498,643,529,728
  5. Step 5: Solve for x
    x = 104,427,616,681,498,643,529,728/229,575,930,144
  6. Step 6: Final answer
    x = 454,871,800,436.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.