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Finding the Third Proportional to 100,145,075.63 and 213,517,944

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Solution

The third proportional to 100,145,075.63 and 213,517,944 is: 455,238,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145,075.63 : 213,517,944 = 213,517,944 : x
  2. Step 2: Convert to fraction form
    100,145,075.63/213,517,944 = 213,517,944/x
  3. Step 3: Cross multiply
    100,145,075.63x = 213,517,944 × 213,517,944
  4. Step 4: Simplify right side
    100,145,075.63x = 45,589,912,409,987,136
  5. Step 5: Solve for x
    x = 45,589,912,409,987,136/100,145,075.63
  6. Step 6: Final answer
    x = 455,238,683.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.