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Finding the Third Proportional to 115,763,114,444 and 250,758,015,796

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Solution

The third proportional to 115,763,114,444 and 250,758,015,796 is: 543,174,592,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,763,114,444 : 250,758,015,796 = 250,758,015,796 : x
  2. Step 2: Convert to fraction form
    115,763,114,444/250,758,015,796 = 250,758,015,796/x
  3. Step 3: Cross multiply
    115,763,114,444x = 250,758,015,796 × 250,758,015,796
  4. Step 4: Simplify right side
    115,763,114,444x = 62,879,582,485,946,988,232,704
  5. Step 5: Solve for x
    x = 62,879,582,485,946,988,232,704/115,763,114,444
  6. Step 6: Final answer
    x = 543,174,592,252.05

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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.