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Finding the Third Proportional to 164,302,002 and 234,936,602

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Solution

The third proportional to 164,302,002 and 234,936,602 is: 335,937,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,302,002 : 234,936,602 = 234,936,602 : x
  2. Step 2: Convert to fraction form
    164,302,002/234,936,602 = 234,936,602/x
  3. Step 3: Cross multiply
    164,302,002x = 234,936,602 × 234,936,602
  4. Step 4: Simplify right side
    164,302,002x = 55,195,206,959,306,400
  5. Step 5: Solve for x
    x = 55,195,206,959,306,400/164,302,002
  6. Step 6: Final answer
    x = 335,937,519.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.