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Finding the Third Proportional to 221,460,075 and 484,626,786.75

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Solution

The third proportional to 221,460,075 and 484,626,786.75 is: 1,060,521,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,460,075 : 484,626,786.75 = 484,626,786.75 : x
  2. Step 2: Convert to fraction form
    221,460,075/484,626,786.75 = 484,626,786.75/x
  3. Step 3: Cross multiply
    221,460,075x = 484,626,786.75 × 484,626,786.75
  4. Step 4: Simplify right side
    221,460,075x = 234,863,122,435,629,984
  5. Step 5: Solve for x
    x = 234,863,122,435,629,984/221,460,075
  6. Step 6: Final answer
    x = 1,060,521,281.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.