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Finding the Third Proportional to 68,408,117.75 and 106,013,747.25

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Solution

The third proportional to 68,408,117.75 and 106,013,747.25 is: 164,292,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,408,117.75 : 106,013,747.25 = 106,013,747.25 : x
  2. Step 2: Convert to fraction form
    68,408,117.75/106,013,747.25 = 106,013,747.25/x
  3. Step 3: Cross multiply
    68,408,117.75x = 106,013,747.25 × 106,013,747.25
  4. Step 4: Simplify right side
    68,408,117.75x = 11,238,914,605,986,882
  5. Step 5: Solve for x
    x = 11,238,914,605,986,882/68,408,117.75
  6. Step 6: Final answer
    x = 164,292,118.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.