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Finding the Third Proportional to 172,214,724 and 265,936,600.50

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Solution

The third proportional to 172,214,724 and 265,936,600.50 is: 410,663,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,214,724 : 265,936,600.50 = 265,936,600.50 : x
  2. Step 2: Convert to fraction form
    172,214,724/265,936,600.50 = 265,936,600.50/x
  3. Step 3: Cross multiply
    172,214,724x = 265,936,600.50 × 265,936,600.50
  4. Step 4: Simplify right side
    172,214,724x = 70,722,275,485,496,600
  5. Step 5: Solve for x
    x = 70,722,275,485,496,600/172,214,724
  6. Step 6: Final answer
    x = 410,663,350.05

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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.