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Finding the Third Proportional to 53,203,752 and 114,363,864

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Solution

The third proportional to 53,203,752 and 114,363,864 is: 245,830,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,203,752 : 114,363,864 = 114,363,864 : x
  2. Step 2: Convert to fraction form
    53,203,752/114,363,864 = 114,363,864/x
  3. Step 3: Cross multiply
    53,203,752x = 114,363,864 × 114,363,864
  4. Step 4: Simplify right side
    53,203,752x = 13,079,093,389,010,496
  5. Step 5: Solve for x
    x = 13,079,093,389,010,496/53,203,752
  6. Step 6: Final answer
    x = 245,830,282.59

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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.