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Finding the Third Proportional to 92,408,016 and 142,050,264

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Solution

The third proportional to 92,408,016 and 142,050,264 is: 218,360,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,408,016 : 142,050,264 = 142,050,264 : x
  2. Step 2: Convert to fraction form
    92,408,016/142,050,264 = 142,050,264/x
  3. Step 3: Cross multiply
    92,408,016x = 142,050,264 × 142,050,264
  4. Step 4: Simplify right side
    92,408,016x = 20,178,277,502,469,696
  5. Step 5: Solve for x
    x = 20,178,277,502,469,696/92,408,016
  6. Step 6: Final answer
    x = 218,360,683.15

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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.