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Finding the Third Proportional to 49,963,564.13 and 111,415,200.05

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Solution

The third proportional to 49,963,564.13 and 111,415,200.05 is: 248,447,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,963,564.13 : 111,415,200.05 = 111,415,200.05 : x
  2. Step 2: Convert to fraction form
    49,963,564.13/111,415,200.05 = 111,415,200.05/x
  3. Step 3: Cross multiply
    49,963,564.13x = 111,415,200.05 × 111,415,200.05
  4. Step 4: Simplify right side
    49,963,564.13x = 12,413,346,801,486,290
  5. Step 5: Solve for x
    x = 12,413,346,801,486,290/49,963,564.13
  6. Step 6: Final answer
    x = 248,447,984.42

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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.