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Finding the Third Proportional to 140,577,158,304 and 214,154,775,990

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Solution

The third proportional to 140,577,158,304 and 214,154,775,990 is: 326,242,674,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,577,158,304 : 214,154,775,990 = 214,154,775,990 : x
  2. Step 2: Convert to fraction form
    140,577,158,304/214,154,775,990 = 214,154,775,990/x
  3. Step 3: Cross multiply
    140,577,158,304x = 214,154,775,990 × 214,154,775,990
  4. Step 4: Simplify right side
    140,577,158,304x = 45,862,268,079,327,078,776,832
  5. Step 5: Solve for x
    x = 45,862,268,079,327,078,776,832/140,577,158,304
  6. Step 6: Final answer
    x = 326,242,674,362.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.