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Finding the Third Proportional to 78,211,208 and 118,323,452

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Solution

The third proportional to 78,211,208 and 118,323,452 is: 179,008,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211,208 : 118,323,452 = 118,323,452 : x
  2. Step 2: Convert to fraction form
    78,211,208/118,323,452 = 118,323,452/x
  3. Step 3: Cross multiply
    78,211,208x = 118,323,452 × 118,323,452
  4. Step 4: Simplify right side
    78,211,208x = 14,000,439,293,196,304
  5. Step 5: Solve for x
    x = 14,000,439,293,196,304/78,211,208
  6. Step 6: Final answer
    x = 179,008,094.25

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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.