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Finding the Third Proportional to 68,968,924 and 114,943,398

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Solution

The third proportional to 68,968,924 and 114,943,398 is: 191,564,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,968,924 : 114,943,398 = 114,943,398 : x
  2. Step 2: Convert to fraction form
    68,968,924/114,943,398 = 114,943,398/x
  3. Step 3: Cross multiply
    68,968,924x = 114,943,398 × 114,943,398
  4. Step 4: Simplify right side
    68,968,924x = 13,211,984,743,786,404
  5. Step 5: Solve for x
    x = 13,211,984,743,786,404/68,968,924
  6. Step 6: Final answer
    x = 191,564,315.89

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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.