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Finding the Third Proportional to 46,568,986.50 and 97,963,467

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Solution

The third proportional to 46,568,986.50 and 97,963,467 is: 206,077,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,568,986.50 : 97,963,467 = 97,963,467 : x
  2. Step 2: Convert to fraction form
    46,568,986.50/97,963,467 = 97,963,467/x
  3. Step 3: Cross multiply
    46,568,986.50x = 97,963,467 × 97,963,467
  4. Step 4: Simplify right side
    46,568,986.50x = 9,596,840,866,660,088
  5. Step 5: Solve for x
    x = 9,596,840,866,660,088/46,568,986.50
  6. Step 6: Final answer
    x = 206,077,941.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.