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Finding the Third Proportional to 255,962,024 and 412,183,164

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Solution

The third proportional to 255,962,024 and 412,183,164 is: 663,750,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,962,024 : 412,183,164 = 412,183,164 : x
  2. Step 2: Convert to fraction form
    255,962,024/412,183,164 = 412,183,164/x
  3. Step 3: Cross multiply
    255,962,024x = 412,183,164 × 412,183,164
  4. Step 4: Simplify right side
    255,962,024x = 169,894,960,685,050,880
  5. Step 5: Solve for x
    x = 169,894,960,685,050,880/255,962,024
  6. Step 6: Final answer
    x = 663,750,653.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.