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Finding the Third Proportional to 49,131,069.75 and 105,163,886.50

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Solution

The third proportional to 49,131,069.75 and 105,163,886.50 is: 225,100,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131,069.75 : 105,163,886.50 = 105,163,886.50 : x
  2. Step 2: Convert to fraction form
    49,131,069.75/105,163,886.50 = 105,163,886.50/x
  3. Step 3: Cross multiply
    49,131,069.75x = 105,163,886.50 × 105,163,886.50
  4. Step 4: Simplify right side
    49,131,069.75x = 11,059,443,023,784,882
  5. Step 5: Solve for x
    x = 11,059,443,023,784,882/49,131,069.75
  6. Step 6: Final answer
    x = 225,100,798.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.