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Finding the Third Proportional to 105,408,096 and 157,492,128

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Solution

The third proportional to 105,408,096 and 157,492,128 is: 235,311,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,408,096 : 157,492,128 = 157,492,128 : x
  2. Step 2: Convert to fraction form
    105,408,096/157,492,128 = 157,492,128/x
  3. Step 3: Cross multiply
    105,408,096x = 157,492,128 × 157,492,128
  4. Step 4: Simplify right side
    105,408,096x = 24,803,770,381,968,384
  5. Step 5: Solve for x
    x = 24,803,770,381,968,384/105,408,096
  6. Step 6: Final answer
    x = 235,311,814.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.