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Finding the Third Proportional to 53,816,054 and 114,807,424

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Solution

The third proportional to 53,816,054 and 114,807,424 is: 244,922,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,816,054 : 114,807,424 = 114,807,424 : x
  2. Step 2: Convert to fraction form
    53,816,054/114,807,424 = 114,807,424/x
  3. Step 3: Cross multiply
    53,816,054x = 114,807,424 × 114,807,424
  4. Step 4: Simplify right side
    53,816,054x = 13,180,744,605,515,776
  5. Step 5: Solve for x
    x = 13,180,744,605,515,776/53,816,054
  6. Step 6: Final answer
    x = 244,922,167.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.