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Finding the Third Proportional to 118,732,414 and 181,629,654

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Solution

The third proportional to 118,732,414 and 181,629,654 is: 277,846,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,732,414 : 181,629,654 = 181,629,654 : x
  2. Step 2: Convert to fraction form
    118,732,414/181,629,654 = 181,629,654/x
  3. Step 3: Cross multiply
    118,732,414x = 181,629,654 × 181,629,654
  4. Step 4: Simplify right side
    118,732,414x = 32,989,331,212,159,716
  5. Step 5: Solve for x
    x = 32,989,331,212,159,716/118,732,414
  6. Step 6: Final answer
    x = 277,846,041.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.