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Finding the Third Proportional to 220,669,803.56 and 468,238,271.91

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Solution

The third proportional to 220,669,803.56 and 468,238,271.91 is: 993,552,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,669,803.56 : 468,238,271.91 = 468,238,271.91 : x
  2. Step 2: Convert to fraction form
    220,669,803.56/468,238,271.91 = 468,238,271.91/x
  3. Step 3: Cross multiply
    220,669,803.56x = 468,238,271.91 × 468,238,271.91
  4. Step 4: Simplify right side
    220,669,803.56x = 219,247,079,277,751,296
  5. Step 5: Solve for x
    x = 219,247,079,277,751,296/220,669,803.56
  6. Step 6: Final answer
    x = 993,552,700.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.