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Finding the Third Proportional to 132,344,742.75 and 200,219,244.75

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Solution

The third proportional to 132,344,742.75 and 200,219,244.75 is: 302,903,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,344,742.75 : 200,219,244.75 = 200,219,244.75 : x
  2. Step 2: Convert to fraction form
    132,344,742.75/200,219,244.75 = 200,219,244.75/x
  3. Step 3: Cross multiply
    132,344,742.75x = 200,219,244.75 × 200,219,244.75
  4. Step 4: Simplify right side
    132,344,742.75x = 40,087,745,968,260,400
  5. Step 5: Solve for x
    x = 40,087,745,968,260,400/132,344,742.75
  6. Step 6: Final answer
    x = 302,903,954.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.