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Finding the Third Proportional to 103,438,234 and 154,872,447

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Solution

The third proportional to 103,438,234 and 154,872,447 is: 231,882,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438,234 : 154,872,447 = 154,872,447 : x
  2. Step 2: Convert to fraction form
    103,438,234/154,872,447 = 154,872,447/x
  3. Step 3: Cross multiply
    103,438,234x = 154,872,447 × 154,872,447
  4. Step 4: Simplify right side
    103,438,234x = 23,985,474,839,767,808
  5. Step 5: Solve for x
    x = 23,985,474,839,767,808/103,438,234
  6. Step 6: Final answer
    x = 231,882,099.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.