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Finding the Third Proportional to 111,938,598 and 242,212,730.63

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Solution

The third proportional to 111,938,598 and 242,212,730.63 is: 524,099,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,938,598 : 242,212,730.63 = 242,212,730.63 : x
  2. Step 2: Convert to fraction form
    111,938,598/242,212,730.63 = 242,212,730.63/x
  3. Step 3: Cross multiply
    111,938,598x = 242,212,730.63 × 242,212,730.63
  4. Step 4: Simplify right side
    111,938,598x = 58,667,006,876,818,816
  5. Step 5: Solve for x
    x = 58,667,006,876,818,816/111,938,598
  6. Step 6: Final answer
    x = 524,099,889.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.