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Finding the Third Proportional to 104,146,759,008 and 226,047,898,944

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Solution

The third proportional to 104,146,759,008 and 226,047,898,944 is: 490,631,231,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,146,759,008 : 226,047,898,944 = 226,047,898,944 : x
  2. Step 2: Convert to fraction form
    104,146,759,008/226,047,898,944 = 226,047,898,944/x
  3. Step 3: Cross multiply
    104,146,759,008x = 226,047,898,944 × 226,047,898,944
  4. Step 4: Simplify right side
    104,146,759,008x = 51,097,652,616,996,835,033,088
  5. Step 5: Solve for x
    x = 51,097,652,616,996,835,033,088/104,146,759,008
  6. Step 6: Final answer
    x = 490,631,231,386.39

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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.