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Finding the Third Proportional to 172,273,149 and 264,796,178.63

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Solution

The third proportional to 172,273,149 and 264,796,178.63 is: 407,010,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,273,149 : 264,796,178.63 = 264,796,178.63 : x
  2. Step 2: Convert to fraction form
    172,273,149/264,796,178.63 = 264,796,178.63/x
  3. Step 3: Cross multiply
    172,273,149x = 264,796,178.63 × 264,796,178.63
  4. Step 4: Simplify right side
    172,273,149x = 70,117,016,214,402,904
  5. Step 5: Solve for x
    x = 70,117,016,214,402,904/172,273,149
  6. Step 6: Final answer
    x = 407,010,707.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.