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Finding the Third Proportional to 82,185,207 and 123,385,936.50

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Solution

The third proportional to 82,185,207 and 123,385,936.50 is: 185,241,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,185,207 : 123,385,936.50 = 123,385,936.50 : x
  2. Step 2: Convert to fraction form
    82,185,207/123,385,936.50 = 123,385,936.50/x
  3. Step 3: Cross multiply
    82,185,207x = 123,385,936.50 × 123,385,936.50
  4. Step 4: Simplify right side
    82,185,207x = 15,224,089,325,982,032
  5. Step 5: Solve for x
    x = 15,224,089,325,982,032/82,185,207
  6. Step 6: Final answer
    x = 185,241,236.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.