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Finding the Third Proportional to 115,763,114,512 and 250,758,016,048

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Solution

The third proportional to 115,763,114,512 and 250,758,016,048 is: 543,174,593,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,763,114,512 : 250,758,016,048 = 250,758,016,048 : x
  2. Step 2: Convert to fraction form
    115,763,114,512/250,758,016,048 = 250,758,016,048/x
  3. Step 3: Cross multiply
    115,763,114,512x = 250,758,016,048 × 250,758,016,048
  4. Step 4: Simplify right side
    115,763,114,512x = 62,879,582,612,329,026,551,808
  5. Step 5: Solve for x
    x = 62,879,582,612,329,026,551,808/115,763,114,512
  6. Step 6: Final answer
    x = 543,174,593,024.72

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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.