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Finding the Third Proportional to 220,873,720 and 480,532,178

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Solution

The third proportional to 220,873,720 and 480,532,178 is: 1,045,444,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,873,720 : 480,532,178 = 480,532,178 : x
  2. Step 2: Convert to fraction form
    220,873,720/480,532,178 = 480,532,178/x
  3. Step 3: Cross multiply
    220,873,720x = 480,532,178 × 480,532,178
  4. Step 4: Simplify right side
    220,873,720x = 230,911,174,093,423,680
  5. Step 5: Solve for x
    x = 230,911,174,093,423,680/220,873,720
  6. Step 6: Final answer
    x = 1,045,444,311.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.