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Finding the Third Proportional to 68,968,936 and 114,943,416

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Solution

The third proportional to 68,968,936 and 114,943,416 is: 191,564,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,968,936 : 114,943,416 = 114,943,416 : x
  2. Step 2: Convert to fraction form
    68,968,936/114,943,416 = 114,943,416/x
  3. Step 3: Cross multiply
    68,968,936x = 114,943,416 × 114,943,416
  4. Step 4: Simplify right side
    68,968,936x = 13,211,988,881,749,056
  5. Step 5: Solve for x
    x = 13,211,988,881,749,056/68,968,936
  6. Step 6: Final answer
    x = 191,564,342.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.