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Finding the Third Proportional to 49,974,475.50 and 111,433,171.50

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Solution

The third proportional to 49,974,475.50 and 111,433,171.50 is: 248,473,877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,974,475.50 : 111,433,171.50 = 111,433,171.50 : x
  2. Step 2: Convert to fraction form
    49,974,475.50/111,433,171.50 = 111,433,171.50/x
  3. Step 3: Cross multiply
    49,974,475.50x = 111,433,171.50 × 111,433,171.50
  4. Step 4: Simplify right side
    49,974,475.50x = 12,417,351,710,548,412
  5. Step 5: Solve for x
    x = 12,417,351,710,548,412/49,974,475.50
  6. Step 6: Final answer
    x = 248,473,877.64

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.