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Finding the Third Proportional to 81,430,784.50 and 177,493,409

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Solution

The third proportional to 81,430,784.50 and 177,493,409 is: 386,879,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,430,784.50 : 177,493,409 = 177,493,409 : x
  2. Step 2: Convert to fraction form
    81,430,784.50/177,493,409 = 177,493,409/x
  3. Step 3: Cross multiply
    81,430,784.50x = 177,493,409 × 177,493,409
  4. Step 4: Simplify right side
    81,430,784.50x = 31,503,910,238,441,280
  5. Step 5: Solve for x
    x = 31,503,910,238,441,280/81,430,784.50
  6. Step 6: Final answer
    x = 386,879,611.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.