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Finding the Third Proportional to 129,266,184 and 193,441,281

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Solution

The third proportional to 129,266,184 and 193,441,281 is: 289,476,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,266,184 : 193,441,281 = 193,441,281 : x
  2. Step 2: Convert to fraction form
    129,266,184/193,441,281 = 193,441,281/x
  3. Step 3: Cross multiply
    129,266,184x = 193,441,281 × 193,441,281
  4. Step 4: Simplify right side
    129,266,184x = 37,419,529,194,920,960
  5. Step 5: Solve for x
    x = 37,419,529,194,920,960/129,266,184
  6. Step 6: Final answer
    x = 289,476,551.69

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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.