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Finding the Third Proportional to 46,793,180.14 and 100,985,015.46

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Solution

The third proportional to 46,793,180.14 and 100,985,015.46 is: 217,937,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793,180.14 : 100,985,015.46 = 100,985,015.46 : x
  2. Step 2: Convert to fraction form
    46,793,180.14/100,985,015.46 = 100,985,015.46/x
  3. Step 3: Cross multiply
    46,793,180.14x = 100,985,015.46 × 100,985,015.46
  4. Step 4: Simplify right side
    46,793,180.14x = 10,197,973,347,646,292
  5. Step 5: Solve for x
    x = 10,197,973,347,646,292/46,793,180.14
  6. Step 6: Final answer
    x = 217,937,171.96

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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.