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Finding the Third Proportional to 227,713,816.50 and 349,857,102

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Solution

The third proportional to 227,713,816.50 and 349,857,102 is: 537,516,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,713,816.50 : 349,857,102 = 349,857,102 : x
  2. Step 2: Convert to fraction form
    227,713,816.50/349,857,102 = 349,857,102/x
  3. Step 3: Cross multiply
    227,713,816.50x = 349,857,102 × 349,857,102
  4. Step 4: Simplify right side
    227,713,816.50x = 122,399,991,819,838,400
  5. Step 5: Solve for x
    x = 122,399,991,819,838,400/227,713,816.50
  6. Step 6: Final answer
    x = 537,516,755.47

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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.