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Finding the Third Proportional to 231,224,122 and 474,706,131

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Solution

The third proportional to 231,224,122 and 474,706,131 is: 974,577,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,224,122 : 474,706,131 = 474,706,131 : x
  2. Step 2: Convert to fraction form
    231,224,122/474,706,131 = 474,706,131/x
  3. Step 3: Cross multiply
    231,224,122x = 474,706,131 × 474,706,131
  4. Step 4: Simplify right side
    231,224,122x = 225,345,910,808,989,152
  5. Step 5: Solve for x
    x = 225,345,910,808,989,152/231,224,122
  6. Step 6: Final answer
    x = 974,577,863.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.