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Finding the Third Proportional to 232,997,144.63 and 361,772,487

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Solution

The third proportional to 232,997,144.63 and 361,772,487 is: 561,720,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,997,144.63 : 361,772,487 = 361,772,487 : x
  2. Step 2: Convert to fraction form
    232,997,144.63/361,772,487 = 361,772,487/x
  3. Step 3: Cross multiply
    232,997,144.63x = 361,772,487 × 361,772,487
  4. Step 4: Simplify right side
    232,997,144.63x = 130,879,332,350,165,168
  5. Step 5: Solve for x
    x = 130,879,332,350,165,168/232,997,144.63
  6. Step 6: Final answer
    x = 561,720,756.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.