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Finding the Third Proportional to 183,942,152 and 255,754,380

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Solution

The third proportional to 183,942,152 and 255,754,380 is: 355,602,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,942,152 : 255,754,380 = 255,754,380 : x
  2. Step 2: Convert to fraction form
    183,942,152/255,754,380 = 255,754,380/x
  3. Step 3: Cross multiply
    183,942,152x = 255,754,380 × 255,754,380
  4. Step 4: Simplify right side
    183,942,152x = 65,410,302,889,184,400
  5. Step 5: Solve for x
    x = 65,410,302,889,184,400/183,942,152
  6. Step 6: Final answer
    x = 355,602,574.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.