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Finding the Third Proportional to 129,683,529 and 277,901,064

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Solution

The third proportional to 129,683,529 and 277,901,064 is: 595,518,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,683,529 : 277,901,064 = 277,901,064 : x
  2. Step 2: Convert to fraction form
    129,683,529/277,901,064 = 277,901,064/x
  3. Step 3: Cross multiply
    129,683,529x = 277,901,064 × 277,901,064
  4. Step 4: Simplify right side
    129,683,529x = 77,229,001,372,332,096
  5. Step 5: Solve for x
    x = 77,229,001,372,332,096/129,683,529
  6. Step 6: Final answer
    x = 595,518,968.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.