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Finding the Third Proportional to 105,321,358.69 and 167,734,774.69

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Solution

The third proportional to 105,321,358.69 and 167,734,774.69 is: 267,134,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,321,358.69 : 167,734,774.69 = 167,734,774.69 : x
  2. Step 2: Convert to fraction form
    105,321,358.69/167,734,774.69 = 167,734,774.69/x
  3. Step 3: Cross multiply
    105,321,358.69x = 167,734,774.69 × 167,734,774.69
  4. Step 4: Simplify right side
    105,321,358.69x = 28,134,954,639,466,392
  5. Step 5: Solve for x
    x = 28,134,954,639,466,392/105,321,358.69
  6. Step 6: Final answer
    x = 267,134,368.47

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