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Finding the Third Proportional to 174,059,973 and 263,332,269

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Solution

The third proportional to 174,059,973 and 263,332,269 is: 398,390,754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,059,973 : 263,332,269 = 263,332,269 : x
  2. Step 2: Convert to fraction form
    174,059,973/263,332,269 = 263,332,269/x
  3. Step 3: Cross multiply
    174,059,973x = 263,332,269 × 263,332,269
  4. Step 4: Simplify right side
    174,059,973x = 69,343,883,896,688,360
  5. Step 5: Solve for x
    x = 69,343,883,896,688,360/174,059,973
  6. Step 6: Final answer
    x = 398,390,754.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.