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Finding the Third Proportional to 165,655,344 and 360,399,242

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Solution

The third proportional to 165,655,344 and 360,399,242 is: 784,083,450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655,344 : 360,399,242 = 360,399,242 : x
  2. Step 2: Convert to fraction form
    165,655,344/360,399,242 = 360,399,242/x
  3. Step 3: Cross multiply
    165,655,344x = 360,399,242 × 360,399,242
  4. Step 4: Simplify right side
    165,655,344x = 129,887,613,634,174,560
  5. Step 5: Solve for x
    x = 129,887,613,634,174,560/165,655,344
  6. Step 6: Final answer
    x = 784,083,450.00

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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.