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Finding the Third Proportional to 103,438,224 and 154,872,432

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Solution

The third proportional to 103,438,224 and 154,872,432 is: 231,882,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438,224 : 154,872,432 = 154,872,432 : x
  2. Step 2: Convert to fraction form
    103,438,224/154,872,432 = 154,872,432/x
  3. Step 3: Cross multiply
    103,438,224x = 154,872,432 × 154,872,432
  4. Step 4: Simplify right side
    103,438,224x = 23,985,470,193,594,624
  5. Step 5: Solve for x
    x = 23,985,470,193,594,624/103,438,224
  6. Step 6: Final answer
    x = 231,882,076.72

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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.