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Finding the Third Proportional to 227,713,812 and 349,857,094.50

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Solution

The third proportional to 227,713,812 and 349,857,094.50 is: 537,516,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,713,812 : 349,857,094.50 = 349,857,094.50 : x
  2. Step 2: Convert to fraction form
    227,713,812/349,857,094.50 = 349,857,094.50/x
  3. Step 3: Cross multiply
    227,713,812x = 349,857,094.50 × 349,857,094.50
  4. Step 4: Simplify right side
    227,713,812x = 122,399,986,571,981,936
  5. Step 5: Solve for x
    x = 122,399,986,571,981,936/227,713,812
  6. Step 6: Final answer
    x = 537,516,743.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.