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Finding the Third Proportional to 277,903,084 and 408,771,222

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Solution

The third proportional to 277,903,084 and 408,771,222 is: 601,266,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,903,084 : 408,771,222 = 408,771,222 : x
  2. Step 2: Convert to fraction form
    277,903,084/408,771,222 = 408,771,222/x
  3. Step 3: Cross multiply
    277,903,084x = 408,771,222 × 408,771,222
  4. Step 4: Simplify right side
    277,903,084x = 167,093,911,935,373,280
  5. Step 5: Solve for x
    x = 167,093,911,935,373,280/277,903,084
  6. Step 6: Final answer
    x = 601,266,850.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.