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Finding the Third Proportional to 123,086,031 and 194,903,611.50

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Solution

The third proportional to 123,086,031 and 194,903,611.50 is: 308,624,930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,086,031 : 194,903,611.50 = 194,903,611.50 : x
  2. Step 2: Convert to fraction form
    123,086,031/194,903,611.50 = 194,903,611.50/x
  3. Step 3: Cross multiply
    123,086,031x = 194,903,611.50 × 194,903,611.50
  4. Step 4: Simplify right side
    123,086,031x = 37,987,417,775,742,936
  5. Step 5: Solve for x
    x = 37,987,417,775,742,936/123,086,031
  6. Step 6: Final answer
    x = 308,624,930.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.