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Finding the Third Proportional to 46,816,692 and 100,536,216

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Solution

The third proportional to 46,816,692 and 100,536,216 is: 215,895,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,816,692 : 100,536,216 = 100,536,216 : x
  2. Step 2: Convert to fraction form
    46,816,692/100,536,216 = 100,536,216/x
  3. Step 3: Cross multiply
    46,816,692x = 100,536,216 × 100,536,216
  4. Step 4: Simplify right side
    46,816,692x = 10,107,530,727,598,656
  5. Step 5: Solve for x
    x = 10,107,530,727,598,656/46,816,692
  6. Step 6: Final answer
    x = 215,895,875.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.