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Finding the Third Proportional to 100,771,815 and 151,131,478.50

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Solution

The third proportional to 100,771,815 and 151,131,478.50 is: 226,657,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,771,815 : 151,131,478.50 = 151,131,478.50 : x
  2. Step 2: Convert to fraction form
    100,771,815/151,131,478.50 = 151,131,478.50/x
  3. Step 3: Cross multiply
    100,771,815x = 151,131,478.50 × 151,131,478.50
  4. Step 4: Simplify right side
    100,771,815x = 22,840,723,793,595,964
  5. Step 5: Solve for x
    x = 22,840,723,793,595,964/100,771,815
  6. Step 6: Final answer
    x = 226,657,858.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.