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Finding the Third Proportional to 78,211,226 and 118,323,462

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Solution

The third proportional to 78,211,226 and 118,323,462 is: 179,008,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211,226 : 118,323,462 = 118,323,462 : x
  2. Step 2: Convert to fraction form
    78,211,226/118,323,462 = 118,323,462/x
  3. Step 3: Cross multiply
    78,211,226x = 118,323,462 × 118,323,462
  4. Step 4: Simplify right side
    78,211,226x = 14,000,441,659,665,444
  5. Step 5: Solve for x
    x = 14,000,441,659,665,444/78,211,226
  6. Step 6: Final answer
    x = 179,008,083.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.