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Finding the Third Proportional to 78,211,224 and 118,323,459

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Solution

The third proportional to 78,211,224 and 118,323,459 is: 179,008,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211,224 : 118,323,459 = 118,323,459 : x
  2. Step 2: Convert to fraction form
    78,211,224/118,323,459 = 118,323,459/x
  3. Step 3: Cross multiply
    78,211,224x = 118,323,459 × 118,323,459
  4. Step 4: Simplify right side
    78,211,224x = 14,000,440,949,724,680
  5. Step 5: Solve for x
    x = 14,000,440,949,724,680/78,211,224
  6. Step 6: Final answer
    x = 179,008,078.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.