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Finding the Third Proportional to 46,043,816,314 and 100,195,378,173

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Solution

The third proportional to 46,043,816,314 and 100,195,378,173 is: 218,033,920,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,043,816,314 : 100,195,378,173 = 100,195,378,173 : x
  2. Step 2: Convert to fraction form
    46,043,816,314/100,195,378,173 = 100,195,378,173/x
  3. Step 3: Cross multiply
    46,043,816,314x = 100,195,378,173 × 100,195,378,173
  4. Step 4: Simplify right side
    46,043,816,314x = 10,039,113,807,230,484,348,928
  5. Step 5: Solve for x
    x = 10,039,113,807,230,484,348,928/46,043,816,314
  6. Step 6: Final answer
    x = 218,033,920,967.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.