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Finding the Third Proportional to 116,033,322 and 174,050,004

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Solution

The third proportional to 116,033,322 and 174,050,004 is: 261,075,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,033,322 : 174,050,004 = 174,050,004 : x
  2. Step 2: Convert to fraction form
    116,033,322/174,050,004 = 174,050,004/x
  3. Step 3: Cross multiply
    116,033,322x = 174,050,004 × 174,050,004
  4. Step 4: Simplify right side
    116,033,322x = 30,293,403,892,400,016
  5. Step 5: Solve for x
    x = 30,293,403,892,400,016/116,033,322
  6. Step 6: Final answer
    x = 261,075,037.50

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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.