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Finding the Third Proportional to 169,888,650.75 and 262,343,543.06

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Solution

The third proportional to 169,888,650.75 and 262,343,543.06 is: 405,113,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,888,650.75 : 262,343,543.06 = 262,343,543.06 : x
  2. Step 2: Convert to fraction form
    169,888,650.75/262,343,543.06 = 262,343,543.06/x
  3. Step 3: Cross multiply
    169,888,650.75x = 262,343,543.06 × 262,343,543.06
  4. Step 4: Simplify right side
    169,888,650.75x = 68,824,134,586,585,792
  5. Step 5: Solve for x
    x = 68,824,134,586,585,792/169,888,650.75
  6. Step 6: Final answer
    x = 405,113,197.87

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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.