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Finding the Third Proportional to 176,977,152 and 246,072,584.25

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Solution

The third proportional to 176,977,152 and 246,072,584.25 is: 342,144,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,977,152 : 246,072,584.25 = 246,072,584.25 : x
  2. Step 2: Convert to fraction form
    176,977,152/246,072,584.25 = 246,072,584.25/x
  3. Step 3: Cross multiply
    176,977,152x = 246,072,584.25 × 246,072,584.25
  4. Step 4: Simplify right side
    176,977,152x = 60,551,716,719,473,352
  5. Step 5: Solve for x
    x = 60,551,716,719,473,352/176,977,152
  6. Step 6: Final answer
    x = 342,144,260.07

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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.