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Finding the Third Proportional to 308,093,734.41 and 477,229,831.31

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Solution

The third proportional to 308,093,734.41 and 477,229,831.31 is: 739,217,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,093,734.41 : 477,229,831.31 = 477,229,831.31 : x
  2. Step 2: Convert to fraction form
    308,093,734.41/477,229,831.31 = 477,229,831.31/x
  3. Step 3: Cross multiply
    308,093,734.41x = 477,229,831.31 × 477,229,831.31
  4. Step 4: Simplify right side
    308,093,734.41x = 227,748,311,894,557,216
  5. Step 5: Solve for x
    x = 227,748,311,894,557,216/308,093,734.41
  6. Step 6: Final answer
    x = 739,217,603.15

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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.