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Finding the Third Proportional to 140,577,158,459.81 and 214,154,776,170.57

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Solution

The third proportional to 140,577,158,459.81 and 214,154,776,170.57 is: 326,242,674,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,577,158,459.81 : 214,154,776,170.57 = 214,154,776,170.57 : x
  2. Step 2: Convert to fraction form
    140,577,158,459.81/214,154,776,170.57 = 214,154,776,170.57/x
  3. Step 3: Cross multiply
    140,577,158,459.81x = 214,154,776,170.57 × 214,154,776,170.57
  4. Step 4: Simplify right side
    140,577,158,459.81x = 45,862,268,156,666,940,751,872
  5. Step 5: Solve for x
    x = 45,862,268,156,666,940,751,872/140,577,158,459.81
  6. Step 6: Final answer
    x = 326,242,674,550.71

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