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Finding the Third Proportional to 52,317,742.50 and 122,199,012

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Solution

The third proportional to 52,317,742.50 and 122,199,012 is: 285,421,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,317,742.50 : 122,199,012 = 122,199,012 : x
  2. Step 2: Convert to fraction form
    52,317,742.50/122,199,012 = 122,199,012/x
  3. Step 3: Cross multiply
    52,317,742.50x = 122,199,012 × 122,199,012
  4. Step 4: Simplify right side
    52,317,742.50x = 14,932,598,533,776,144
  5. Step 5: Solve for x
    x = 14,932,598,533,776,144/52,317,742.50
  6. Step 6: Final answer
    x = 285,421,308.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.