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Finding the Third Proportional to 82,749,941 and 174,075,519

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Solution

The third proportional to 82,749,941 and 174,075,519 is: 366,191,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,749,941 : 174,075,519 = 174,075,519 : x
  2. Step 2: Convert to fraction form
    82,749,941/174,075,519 = 174,075,519/x
  3. Step 3: Cross multiply
    82,749,941x = 174,075,519 × 174,075,519
  4. Step 4: Simplify right side
    82,749,941x = 30,302,286,315,119,360
  5. Step 5: Solve for x
    x = 30,302,286,315,119,360/82,749,941
  6. Step 6: Final answer
    x = 366,191,032.27

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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.