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Finding the Third Proportional to 75,814,696 and 116,459,694

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Solution

The third proportional to 75,814,696 and 116,459,694 is: 178,894,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,814,696 : 116,459,694 = 116,459,694 : x
  2. Step 2: Convert to fraction form
    75,814,696/116,459,694 = 116,459,694/x
  3. Step 3: Cross multiply
    75,814,696x = 116,459,694 × 116,459,694
  4. Step 4: Simplify right side
    75,814,696x = 13,562,860,326,573,636
  5. Step 5: Solve for x
    x = 13,562,860,326,573,636/75,814,696
  6. Step 6: Final answer
    x = 178,894,871.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.