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Finding the Third Proportional to 183,369,843 and 277,416,729

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Solution

The third proportional to 183,369,843 and 277,416,729 is: 419,698,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,369,843 : 277,416,729 = 277,416,729 : x
  2. Step 2: Convert to fraction form
    183,369,843/277,416,729 = 277,416,729/x
  3. Step 3: Cross multiply
    183,369,843x = 277,416,729 × 277,416,729
  4. Step 4: Simplify right side
    183,369,843x = 76,960,041,529,059,440
  5. Step 5: Solve for x
    x = 76,960,041,529,059,440/183,369,843
  6. Step 6: Final answer
    x = 419,698,464.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.