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Finding the Third Proportional to 75,188,278 and 119,639,329

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Solution

The third proportional to 75,188,278 and 119,639,329 is: 190,369,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,188,278 : 119,639,329 = 119,639,329 : x
  2. Step 2: Convert to fraction form
    75,188,278/119,639,329 = 119,639,329/x
  3. Step 3: Cross multiply
    75,188,278x = 119,639,329 × 119,639,329
  4. Step 4: Simplify right side
    75,188,278x = 14,313,569,043,570,240
  5. Step 5: Solve for x
    x = 14,313,569,043,570,240/75,188,278
  6. Step 6: Final answer
    x = 190,369,688.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.