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Finding the Third Proportional to 51,836,778.50 and 111,366,261.50

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Solution

The third proportional to 51,836,778.50 and 111,366,261.50 is: 239,259,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,836,778.50 : 111,366,261.50 = 111,366,261.50 : x
  2. Step 2: Convert to fraction form
    51,836,778.50/111,366,261.50 = 111,366,261.50/x
  3. Step 3: Cross multiply
    51,836,778.50x = 111,366,261.50 × 111,366,261.50
  4. Step 4: Simplify right side
    51,836,778.50x = 12,402,444,200,486,382
  5. Step 5: Solve for x
    x = 12,402,444,200,486,382/51,836,778.50
  6. Step 6: Final answer
    x = 239,259,548.13

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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.