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Finding the Third Proportional to 196,840,052 and 459,907,178

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Solution

The third proportional to 196,840,052 and 459,907,178 is: 1,074,550,683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,840,052 : 459,907,178 = 459,907,178 : x
  2. Step 2: Convert to fraction form
    196,840,052/459,907,178 = 459,907,178/x
  3. Step 3: Cross multiply
    196,840,052x = 459,907,178 × 459,907,178
  4. Step 4: Simplify right side
    196,840,052x = 211,514,612,375,923,680
  5. Step 5: Solve for x
    x = 211,514,612,375,923,680/196,840,052
  6. Step 6: Final answer
    x = 1,074,550,683.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.