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Finding the Third Proportional to 101,538,148.50 and 154,687,975.50

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Solution

The third proportional to 101,538,148.50 and 154,687,975.50 is: 235,658,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538,148.50 : 154,687,975.50 = 154,687,975.50 : x
  2. Step 2: Convert to fraction form
    101,538,148.50/154,687,975.50 = 154,687,975.50/x
  3. Step 3: Cross multiply
    101,538,148.50x = 154,687,975.50 × 154,687,975.50
  4. Step 4: Simplify right side
    101,538,148.50x = 23,928,369,764,288,600
  5. Step 5: Solve for x
    x = 23,928,369,764,288,600/101,538,148.50
  6. Step 6: Final answer
    x = 235,658,913.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.