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Finding the Third Proportional to 134,597,388 and 292,166,214

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Solution

The third proportional to 134,597,388 and 292,166,214 is: 634,195,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,597,388 : 292,166,214 = 292,166,214 : x
  2. Step 2: Convert to fraction form
    134,597,388/292,166,214 = 292,166,214/x
  3. Step 3: Cross multiply
    134,597,388x = 292,166,214 × 292,166,214
  4. Step 4: Simplify right side
    134,597,388x = 85,361,096,603,093,792
  5. Step 5: Solve for x
    x = 85,361,096,603,093,792/134,597,388
  6. Step 6: Final answer
    x = 634,195,788.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.