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Finding the Third Proportional to 78,838,144 and 168,571,648

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Solution

The third proportional to 78,838,144 and 168,571,648 is: 360,439,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,838,144 : 168,571,648 = 168,571,648 : x
  2. Step 2: Convert to fraction form
    78,838,144/168,571,648 = 168,571,648/x
  3. Step 3: Cross multiply
    78,838,144x = 168,571,648 × 168,571,648
  4. Step 4: Simplify right side
    78,838,144x = 28,416,400,509,435,904
  5. Step 5: Solve for x
    x = 28,416,400,509,435,904/78,838,144
  6. Step 6: Final answer
    x = 360,439,744.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.