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Finding the Third Proportional to 118,470,036 and 178,967,358

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Solution

The third proportional to 118,470,036 and 178,967,358 is: 270,357,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,470,036 : 178,967,358 = 178,967,358 : x
  2. Step 2: Convert to fraction form
    118,470,036/178,967,358 = 178,967,358/x
  3. Step 3: Cross multiply
    118,470,036x = 178,967,358 × 178,967,358
  4. Step 4: Simplify right side
    118,470,036x = 32,029,315,229,500,164
  5. Step 5: Solve for x
    x = 32,029,315,229,500,164/118,470,036
  6. Step 6: Final answer
    x = 270,357,942.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.