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Finding the Third Proportional to 117,745,920 and 175,470,232.50

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Solution

The third proportional to 117,745,920 and 175,470,232.50 is: 261,493,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,745,920 : 175,470,232.50 = 175,470,232.50 : x
  2. Step 2: Convert to fraction form
    117,745,920/175,470,232.50 = 175,470,232.50/x
  3. Step 3: Cross multiply
    117,745,920x = 175,470,232.50 × 175,470,232.50
  4. Step 4: Simplify right side
    117,745,920x = 30,789,802,493,604,056
  5. Step 5: Solve for x
    x = 30,789,802,493,604,056/117,745,920
  6. Step 6: Final answer
    x = 261,493,582.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.