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Finding the Third Proportional to 53,292,816 and 116,223,741

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Solution

The third proportional to 53,292,816 and 116,223,741 is: 253,466,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,292,816 : 116,223,741 = 116,223,741 : x
  2. Step 2: Convert to fraction form
    53,292,816/116,223,741 = 116,223,741/x
  3. Step 3: Cross multiply
    53,292,816x = 116,223,741 × 116,223,741
  4. Step 4: Simplify right side
    53,292,816x = 13,507,957,972,035,080
  5. Step 5: Solve for x
    x = 13,507,957,972,035,080/53,292,816
  6. Step 6: Final answer
    x = 253,466,770.68

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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.