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Finding the Third Proportional to 175,925,168 and 268,437,992

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Solution

The third proportional to 175,925,168 and 268,437,992 is: 409,600,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,925,168 : 268,437,992 = 268,437,992 : x
  2. Step 2: Convert to fraction form
    175,925,168/268,437,992 = 268,437,992/x
  3. Step 3: Cross multiply
    175,925,168x = 268,437,992 × 268,437,992
  4. Step 4: Simplify right side
    175,925,168x = 72,058,955,548,992,064
  5. Step 5: Solve for x
    x = 72,058,955,548,992,064/175,925,168
  6. Step 6: Final answer
    x = 409,600,038.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.