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Finding the Third Proportional to 78,497,284 and 116,980,161

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Solution

The third proportional to 78,497,284 and 116,980,161 is: 174,329,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497,284 : 116,980,161 = 116,980,161 : x
  2. Step 2: Convert to fraction form
    78,497,284/116,980,161 = 116,980,161/x
  3. Step 3: Cross multiply
    78,497,284x = 116,980,161 × 116,980,161
  4. Step 4: Simplify right side
    78,497,284x = 13,684,358,067,585,920
  5. Step 5: Solve for x
    x = 13,684,358,067,585,920/78,497,284
  6. Step 6: Final answer
    x = 174,329,064.27

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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.