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Finding the Third Proportional to 134,578,821.94 and 201,643,723.69

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Solution

The third proportional to 134,578,821.94 and 201,643,723.69 is: 302,129,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,578,821.94 : 201,643,723.69 = 201,643,723.69 : x
  2. Step 2: Convert to fraction form
    134,578,821.94/201,643,723.69 = 201,643,723.69/x
  3. Step 3: Cross multiply
    134,578,821.94x = 201,643,723.69 × 201,643,723.69
  4. Step 4: Simplify right side
    134,578,821.94x = 40,660,191,302,560,848
  5. Step 5: Solve for x
    x = 40,660,191,302,560,848/134,578,821.94
  6. Step 6: Final answer
    x = 302,129,196.24

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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.