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Finding the Third Proportional to 181,262,691 and 277,095,573

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Solution

The third proportional to 181,262,691 and 277,095,573 is: 423,594,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,262,691 : 277,095,573 = 277,095,573 : x
  2. Step 2: Convert to fraction form
    181,262,691/277,095,573 = 277,095,573/x
  3. Step 3: Cross multiply
    181,262,691x = 277,095,573 × 277,095,573
  4. Step 4: Simplify right side
    181,262,691x = 76,781,956,576,198,336
  5. Step 5: Solve for x
    x = 76,781,956,576,198,336/181,262,691
  6. Step 6: Final answer
    x = 423,594,928.18

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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.