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Finding the Third Proportional to 104,146,758,652 and 226,047,898,240

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Solution

The third proportional to 104,146,758,652 and 226,047,898,240 is: 490,631,230,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,146,758,652 : 226,047,898,240 = 226,047,898,240 : x
  2. Step 2: Convert to fraction form
    104,146,758,652/226,047,898,240 = 226,047,898,240/x
  3. Step 3: Cross multiply
    104,146,758,652x = 226,047,898,240 × 226,047,898,240
  4. Step 4: Simplify right side
    104,146,758,652x = 51,097,652,298,721,395,736,576
  5. Step 5: Solve for x
    x = 51,097,652,298,721,395,736,576/104,146,758,652
  6. Step 6: Final answer
    x = 490,631,230,007.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.