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Finding the Third Proportional to 140,577,158,280 and 214,154,775,969

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Solution

The third proportional to 140,577,158,280 and 214,154,775,969 is: 326,242,674,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,577,158,280 : 214,154,775,969 = 214,154,775,969 : x
  2. Step 2: Convert to fraction form
    140,577,158,280/214,154,775,969 = 214,154,775,969/x
  3. Step 3: Cross multiply
    140,577,158,280x = 214,154,775,969 × 214,154,775,969
  4. Step 4: Simplify right side
    140,577,158,280x = 45,862,268,070,332,578,398,208
  5. Step 5: Solve for x
    x = 45,862,268,070,332,578,398,208/140,577,158,280
  6. Step 6: Final answer
    x = 326,242,674,353.86

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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.