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Finding the Third Proportional to 116,301,546 and 253,728,036

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Solution

The third proportional to 116,301,546 and 253,728,036 is: 553,543,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,301,546 : 253,728,036 = 253,728,036 : x
  2. Step 2: Convert to fraction form
    116,301,546/253,728,036 = 253,728,036/x
  3. Step 3: Cross multiply
    116,301,546x = 253,728,036 × 253,728,036
  4. Step 4: Simplify right side
    116,301,546x = 64,377,916,252,417,296
  5. Step 5: Solve for x
    x = 64,377,916,252,417,296/116,301,546
  6. Step 6: Final answer
    x = 553,543,082.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.