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Finding the Third Proportional to 173,244,457 and 385,223,582

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Solution

The third proportional to 173,244,457 and 385,223,582 is: 856,576,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,244,457 : 385,223,582 = 385,223,582 : x
  2. Step 2: Convert to fraction form
    173,244,457/385,223,582 = 385,223,582/x
  3. Step 3: Cross multiply
    173,244,457x = 385,223,582 × 385,223,582
  4. Step 4: Simplify right side
    173,244,457x = 148,397,208,128,910,720
  5. Step 5: Solve for x
    x = 148,397,208,128,910,720/173,244,457
  6. Step 6: Final answer
    x = 856,576,947.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.