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Finding the Third Proportional to 200,657,361.38 and 440,774,222.06

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Solution

The third proportional to 200,657,361.38 and 440,774,222.06 is: 968,227,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657,361.38 : 440,774,222.06 = 440,774,222.06 : x
  2. Step 2: Convert to fraction form
    200,657,361.38/440,774,222.06 = 440,774,222.06/x
  3. Step 3: Cross multiply
    200,657,361.38x = 440,774,222.06 × 440,774,222.06
  4. Step 4: Simplify right side
    200,657,361.38x = 194,281,914,834,802,048
  5. Step 5: Solve for x
    x = 194,281,914,834,802,048/200,657,361.38
  6. Step 6: Final answer
    x = 968,227,198.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.