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Finding the Third Proportional to 220,020,057 and 466,267,266

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Solution

The third proportional to 220,020,057 and 466,267,266 is: 988,115,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,020,057 : 466,267,266 = 466,267,266 : x
  2. Step 2: Convert to fraction form
    220,020,057/466,267,266 = 466,267,266/x
  3. Step 3: Cross multiply
    220,020,057x = 466,267,266 × 466,267,266
  4. Step 4: Simplify right side
    220,020,057x = 217,405,163,343,114,752
  5. Step 5: Solve for x
    x = 217,405,163,343,114,752/220,020,057
  6. Step 6: Final answer
    x = 988,115,203.26

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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.