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Finding the Third Proportional to 73,184,242 and 97,565,734

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Solution

The third proportional to 73,184,242 and 97,565,734 is: 130,069,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,184,242 : 97,565,734 = 97,565,734 : x
  2. Step 2: Convert to fraction form
    73,184,242/97,565,734 = 97,565,734/x
  3. Step 3: Cross multiply
    73,184,242x = 97,565,734 × 97,565,734
  4. Step 4: Simplify right side
    73,184,242x = 9,519,072,450,958,756
  5. Step 5: Solve for x
    x = 9,519,072,450,958,756/73,184,242
  6. Step 6: Final answer
    x = 130,069,973.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.