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Finding the Third Proportional to 138,050,014 and 219,770,835

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Solution

The third proportional to 138,050,014 and 219,770,835 is: 349,867,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,050,014 : 219,770,835 = 219,770,835 : x
  2. Step 2: Convert to fraction form
    138,050,014/219,770,835 = 219,770,835/x
  3. Step 3: Cross multiply
    138,050,014x = 219,770,835 × 219,770,835
  4. Step 4: Simplify right side
    138,050,014x = 48,299,219,916,597,224
  5. Step 5: Solve for x
    x = 48,299,219,916,597,224/138,050,014
  6. Step 6: Final answer
    x = 349,867,548.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.