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Finding the Third Proportional to 115,119,804 and 177,126,025

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Solution

The third proportional to 115,119,804 and 177,126,025 is: 272,530,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,119,804 : 177,126,025 = 177,126,025 : x
  2. Step 2: Convert to fraction form
    115,119,804/177,126,025 = 177,126,025/x
  3. Step 3: Cross multiply
    115,119,804x = 177,126,025 × 177,126,025
  4. Step 4: Simplify right side
    115,119,804x = 31,373,628,732,300,624
  5. Step 5: Solve for x
    x = 31,373,628,732,300,624/115,119,804
  6. Step 6: Final answer
    x = 272,530,247.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.