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Finding the Third Proportional to 42,683,974.75 and 91,841,760.50

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Solution

The third proportional to 42,683,974.75 and 91,841,760.50 is: 197,613,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,683,974.75 : 91,841,760.50 = 91,841,760.50 : x
  2. Step 2: Convert to fraction form
    42,683,974.75/91,841,760.50 = 91,841,760.50/x
  3. Step 3: Cross multiply
    42,683,974.75x = 91,841,760.50 × 91,841,760.50
  4. Step 4: Simplify right side
    42,683,974.75x = 8,434,908,971,739,360
  5. Step 5: Solve for x
    x = 8,434,908,971,739,360/42,683,974.75
  6. Step 6: Final answer
    x = 197,613,015.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.