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Finding the Third Proportional to 116,544,514 and 174,773,973

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Solution

The third proportional to 116,544,514 and 174,773,973 is: 262,096,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,544,514 : 174,773,973 = 174,773,973 : x
  2. Step 2: Convert to fraction form
    116,544,514/174,773,973 = 174,773,973/x
  3. Step 3: Cross multiply
    116,544,514x = 174,773,973 × 174,773,973
  4. Step 4: Simplify right side
    116,544,514x = 30,545,941,638,204,728
  5. Step 5: Solve for x
    x = 30,545,941,638,204,728/116,544,514
  6. Step 6: Final answer
    x = 262,096,778.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.