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Finding the Third Proportional to 65,227,116.96 and 140,667,865.63

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Solution

The third proportional to 65,227,116.96 and 140,667,865.63 is: 303,362,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,227,116.96 : 140,667,865.63 = 140,667,865.63 : x
  2. Step 2: Convert to fraction form
    65,227,116.96/140,667,865.63 = 140,667,865.63/x
  3. Step 3: Cross multiply
    65,227,116.96x = 140,667,865.63 × 140,667,865.63
  4. Step 4: Simplify right side
    65,227,116.96x = 19,787,448,420,590,264
  5. Step 5: Solve for x
    x = 19,787,448,420,590,264/65,227,116.96
  6. Step 6: Final answer
    x = 303,362,303.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.