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Finding the Third Proportional to 176,940,617.06 and 265,410,948.38

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Solution

The third proportional to 176,940,617.06 and 265,410,948.38 is: 398,116,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,940,617.06 : 265,410,948.38 = 265,410,948.38 : x
  2. Step 2: Convert to fraction form
    176,940,617.06/265,410,948.38 = 265,410,948.38/x
  3. Step 3: Cross multiply
    176,940,617.06x = 265,410,948.38 × 265,410,948.38
  4. Step 4: Simplify right side
    176,940,617.06x = 70,442,971,517,316,912
  5. Step 5: Solve for x
    x = 70,442,971,517,316,912/176,940,617.06
  6. Step 6: Final answer
    x = 398,116,456.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.