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Finding the Third Proportional to 135,836,851.50 and 211,826,533.50

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Solution

The third proportional to 135,836,851.50 and 211,826,533.50 is: 330,326,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,836,851.50 : 211,826,533.50 = 211,826,533.50 : x
  2. Step 2: Convert to fraction form
    135,836,851.50/211,826,533.50 = 211,826,533.50/x
  3. Step 3: Cross multiply
    135,836,851.50x = 211,826,533.50 × 211,826,533.50
  4. Step 4: Simplify right side
    135,836,851.50x = 44,870,480,294,626,624
  5. Step 5: Solve for x
    x = 44,870,480,294,626,624/135,836,851.50
  6. Step 6: Final answer
    x = 330,326,268.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.