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Finding the Third Proportional to 116,033,315 and 174,049,994

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Solution

The third proportional to 116,033,315 and 174,049,994 is: 261,075,023.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,033,315 : 174,049,994 = 174,049,994 : x
  2. Step 2: Convert to fraction form
    116,033,315/174,049,994 = 174,049,994/x
  3. Step 3: Cross multiply
    116,033,315x = 174,049,994 × 174,049,994
  4. Step 4: Simplify right side
    116,033,315x = 30,293,400,411,400,036
  5. Step 5: Solve for x
    x = 30,293,400,411,400,036/116,033,315
  6. Step 6: Final answer
    x = 261,075,023.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.