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Finding the Third Proportional to 189,167,431.50 and 285,104,200.50

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Solution

The third proportional to 189,167,431.50 and 285,104,200.50 is: 429,695,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,167,431.50 : 285,104,200.50 = 285,104,200.50 : x
  2. Step 2: Convert to fraction form
    189,167,431.50/285,104,200.50 = 285,104,200.50/x
  3. Step 3: Cross multiply
    189,167,431.50x = 285,104,200.50 × 285,104,200.50
  4. Step 4: Simplify right side
    189,167,431.50x = 81,284,405,142,744,208
  5. Step 5: Solve for x
    x = 81,284,405,142,744,208/189,167,431.50
  6. Step 6: Final answer
    x = 429,695,558.58

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