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Finding the Third Proportional to 51,836,442.50 and 111,974,498.50

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Solution

The third proportional to 51,836,442.50 and 111,974,498.50 is: 241,881,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,836,442.50 : 111,974,498.50 = 111,974,498.50 : x
  2. Step 2: Convert to fraction form
    51,836,442.50/111,974,498.50 = 111,974,498.50/x
  3. Step 3: Cross multiply
    51,836,442.50x = 111,974,498.50 × 111,974,498.50
  4. Step 4: Simplify right side
    51,836,442.50x = 12,538,288,314,326,502
  5. Step 5: Solve for x
    x = 12,538,288,314,326,502/51,836,442.50
  6. Step 6: Final answer
    x = 241,881,728.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.