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Finding the Third Proportional to 68,004,228 and 102,205,638

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Solution

The third proportional to 68,004,228 and 102,205,638 is: 153,607,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,004,228 : 102,205,638 = 102,205,638 : x
  2. Step 2: Convert to fraction form
    68,004,228/102,205,638 = 102,205,638/x
  3. Step 3: Cross multiply
    68,004,228x = 102,205,638 × 102,205,638
  4. Step 4: Simplify right side
    68,004,228x = 10,445,992,438,987,044
  5. Step 5: Solve for x
    x = 10,445,992,438,987,044/68,004,228
  6. Step 6: Final answer
    x = 153,607,985.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.