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Finding the Third Proportional to 96,235,128 and 144,355,149

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Solution

The third proportional to 96,235,128 and 144,355,149 is: 216,536,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,235,128 : 144,355,149 = 144,355,149 : x
  2. Step 2: Convert to fraction form
    96,235,128/144,355,149 = 144,355,149/x
  3. Step 3: Cross multiply
    96,235,128x = 144,355,149 × 144,355,149
  4. Step 4: Simplify right side
    96,235,128x = 20,838,409,042,812,200
  5. Step 5: Solve for x
    x = 20,838,409,042,812,200/96,235,128
  6. Step 6: Final answer
    x = 216,536,409.06

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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.