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Finding the Third Proportional to 45,729,816 and 98,090,614.50

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Solution

The third proportional to 45,729,816 and 98,090,614.50 is: 210,404,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,729,816 : 98,090,614.50 = 98,090,614.50 : x
  2. Step 2: Convert to fraction form
    45,729,816/98,090,614.50 = 98,090,614.50/x
  3. Step 3: Cross multiply
    45,729,816x = 98,090,614.50 × 98,090,614.50
  4. Step 4: Simplify right side
    45,729,816x = 9,621,768,652,987,610
  5. Step 5: Solve for x
    x = 9,621,768,652,987,610/45,729,816
  6. Step 6: Final answer
    x = 210,404,709.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.