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Finding the Third Proportional to 89,538,145.50 and 194,840,376

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Solution

The third proportional to 89,538,145.50 and 194,840,376 is: 423,984,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,538,145.50 : 194,840,376 = 194,840,376 : x
  2. Step 2: Convert to fraction form
    89,538,145.50/194,840,376 = 194,840,376/x
  3. Step 3: Cross multiply
    89,538,145.50x = 194,840,376 × 194,840,376
  4. Step 4: Simplify right side
    89,538,145.50x = 37,962,772,119,821,376
  5. Step 5: Solve for x
    x = 37,962,772,119,821,376/89,538,145.50
  6. Step 6: Final answer
    x = 423,984,346.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.