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Finding the Third Proportional to 53,272,022 and 114,629,152

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Solution

The third proportional to 53,272,022 and 114,629,152 is: 246,655,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,272,022 : 114,629,152 = 114,629,152 : x
  2. Step 2: Convert to fraction form
    53,272,022/114,629,152 = 114,629,152/x
  3. Step 3: Cross multiply
    53,272,022x = 114,629,152 × 114,629,152
  4. Step 4: Simplify right side
    53,272,022x = 13,139,842,488,239,104
  5. Step 5: Solve for x
    x = 13,139,842,488,239,104/53,272,022
  6. Step 6: Final answer
    x = 246,655,598.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.