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Finding the Third Proportional to 175,925,176 and 268,438,004

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Solution

The third proportional to 175,925,176 and 268,438,004 is: 409,600,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,925,176 : 268,438,004 = 268,438,004 : x
  2. Step 2: Convert to fraction form
    175,925,176/268,438,004 = 268,438,004/x
  3. Step 3: Cross multiply
    175,925,176x = 268,438,004 × 268,438,004
  4. Step 4: Simplify right side
    175,925,176x = 72,058,961,991,504,016
  5. Step 5: Solve for x
    x = 72,058,961,991,504,016/175,925,176
  6. Step 6: Final answer
    x = 409,600,056.28

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