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Finding the Third Proportional to 73,255,200 and 152,538,960

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Solution

The third proportional to 73,255,200 and 152,538,960 is: 317,631,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,255,200 : 152,538,960 = 152,538,960 : x
  2. Step 2: Convert to fraction form
    73,255,200/152,538,960 = 152,538,960/x
  3. Step 3: Cross multiply
    73,255,200x = 152,538,960 × 152,538,960
  4. Step 4: Simplify right side
    73,255,200x = 23,268,134,317,881,600
  5. Step 5: Solve for x
    x = 23,268,134,317,881,600/73,255,200
  6. Step 6: Final answer
    x = 317,631,162.26

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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.