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Finding the Third Proportional to 73,255,202 and 152,538,964

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Solution

The third proportional to 73,255,202 and 152,538,964 is: 317,631,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,255,202 : 152,538,964 = 152,538,964 : x
  2. Step 2: Convert to fraction form
    73,255,202/152,538,964 = 152,538,964/x
  3. Step 3: Cross multiply
    73,255,202x = 152,538,964 × 152,538,964
  4. Step 4: Simplify right side
    73,255,202x = 23,268,135,538,193,296
  5. Step 5: Solve for x
    x = 23,268,135,538,193,296/73,255,202
  6. Step 6: Final answer
    x = 317,631,170.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.