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Finding the Third Proportional to 65,414,356,686 and 141,992,835,478.50

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Solution

The third proportional to 65,414,356,686 and 141,992,835,478.50 is: 308,219,270,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414,356,686 : 141,992,835,478.50 = 141,992,835,478.50 : x
  2. Step 2: Convert to fraction form
    65,414,356,686/141,992,835,478.50 = 141,992,835,478.50/x
  3. Step 3: Cross multiply
    65,414,356,686x = 141,992,835,478.50 × 141,992,835,478.50
  4. Step 4: Simplify right side
    65,414,356,686x = 20,161,965,327,224,370,364,416
  5. Step 5: Solve for x
    x = 20,161,965,327,224,370,364,416/65,414,356,686
  6. Step 6: Final answer
    x = 308,219,270,946.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.