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Finding the Third Proportional to 173,244,458 and 385,223,584

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Solution

The third proportional to 173,244,458 and 385,223,584 is: 856,576,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,244,458 : 385,223,584 = 385,223,584 : x
  2. Step 2: Convert to fraction form
    173,244,458/385,223,584 = 385,223,584/x
  3. Step 3: Cross multiply
    173,244,458x = 385,223,584 × 385,223,584
  4. Step 4: Simplify right side
    173,244,458x = 148,397,209,669,805,056
  5. Step 5: Solve for x
    x = 148,397,209,669,805,056/173,244,458
  6. Step 6: Final answer
    x = 856,576,951.34

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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.