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Finding the Third Proportional to 172,569,664.50 and 233,228,685.75

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Solution

The third proportional to 172,569,664.50 and 233,228,685.75 is: 315,209,628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,569,664.50 : 233,228,685.75 = 233,228,685.75 : x
  2. Step 2: Convert to fraction form
    172,569,664.50/233,228,685.75 = 233,228,685.75/x
  3. Step 3: Cross multiply
    172,569,664.50x = 233,228,685.75 × 233,228,685.75
  4. Step 4: Simplify right side
    172,569,664.50x = 54,395,619,856,672,256
  5. Step 5: Solve for x
    x = 54,395,619,856,672,256/172,569,664.50
  6. Step 6: Final answer
    x = 315,209,628.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.