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Finding the Third Proportional to 115,763,114,514 and 250,758,016,052

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Solution

The third proportional to 115,763,114,514 and 250,758,016,052 is: 543,174,593,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,763,114,514 : 250,758,016,052 = 250,758,016,052 : x
  2. Step 2: Convert to fraction form
    115,763,114,514/250,758,016,052 = 250,758,016,052/x
  3. Step 3: Cross multiply
    115,763,114,514x = 250,758,016,052 × 250,758,016,052
  4. Step 4: Simplify right side
    115,763,114,514x = 62,879,582,614,335,086,657,536
  5. Step 5: Solve for x
    x = 62,879,582,614,335,086,657,536/115,763,114,514
  6. Step 6: Final answer
    x = 543,174,593,032.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.