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Finding the Third Proportional to 49,423,197 and 102,937,062

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Solution

The third proportional to 49,423,197 and 102,937,062 is: 214,394,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,423,197 : 102,937,062 = 102,937,062 : x
  2. Step 2: Convert to fraction form
    49,423,197/102,937,062 = 102,937,062/x
  3. Step 3: Cross multiply
    49,423,197x = 102,937,062 × 102,937,062
  4. Step 4: Simplify right side
    49,423,197x = 10,596,038,733,191,844
  5. Step 5: Solve for x
    x = 10,596,038,733,191,844/49,423,197
  6. Step 6: Final answer
    x = 214,394,037.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.