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Finding the Third Proportional to 100,139,804 and 214,651,600

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Solution

The third proportional to 100,139,804 and 214,651,600 is: 460,109,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,139,804 : 214,651,600 = 214,651,600 : x
  2. Step 2: Convert to fraction form
    100,139,804/214,651,600 = 214,651,600/x
  3. Step 3: Cross multiply
    100,139,804x = 214,651,600 × 214,651,600
  4. Step 4: Simplify right side
    100,139,804x = 46,075,309,382,560,000
  5. Step 5: Solve for x
    x = 46,075,309,382,560,000/100,139,804
  6. Step 6: Final answer
    x = 460,109,841.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.