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Finding the Third Proportional to 112,967,865 and 174,564,122.63

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Solution

The third proportional to 112,967,865 and 174,564,122.63 is: 269,746,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,967,865 : 174,564,122.63 = 174,564,122.63 : x
  2. Step 2: Convert to fraction form
    112,967,865/174,564,122.63 = 174,564,122.63/x
  3. Step 3: Cross multiply
    112,967,865x = 174,564,122.63 × 174,564,122.63
  4. Step 4: Simplify right side
    112,967,865x = 30,472,632,907,836,036
  5. Step 5: Solve for x
    x = 30,472,632,907,836,036/112,967,865
  6. Step 6: Final answer
    x = 269,746,028.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.