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Finding the Third Proportional to 46,729,314 and 102,267,810

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Solution

The third proportional to 46,729,314 and 102,267,810 is: 223,814,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,729,314 : 102,267,810 = 102,267,810 : x
  2. Step 2: Convert to fraction form
    46,729,314/102,267,810 = 102,267,810/x
  3. Step 3: Cross multiply
    46,729,314x = 102,267,810 × 102,267,810
  4. Step 4: Simplify right side
    46,729,314x = 10,458,704,962,196,100
  5. Step 5: Solve for x
    x = 10,458,704,962,196,100/46,729,314
  6. Step 6: Final answer
    x = 223,814,647.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.