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Finding the Third Proportional to 111,219,709.50 and 242,211,721.50

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Solution

The third proportional to 111,219,709.50 and 242,211,721.50 is: 527,483,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,219,709.50 : 242,211,721.50 = 242,211,721.50 : x
  2. Step 2: Convert to fraction form
    111,219,709.50/242,211,721.50 = 242,211,721.50/x
  3. Step 3: Cross multiply
    111,219,709.50x = 242,211,721.50 × 242,211,721.50
  4. Step 4: Simplify right side
    111,219,709.50x = 58,666,518,031,993,560
  5. Step 5: Solve for x
    x = 58,666,518,031,993,560/111,219,709.50
  6. Step 6: Final answer
    x = 527,483,107.95

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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.