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Finding the Third Proportional to 64,265,144 and 141,283,264

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Solution

The third proportional to 64,265,144 and 141,283,264 is: 310,603,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,265,144 : 141,283,264 = 141,283,264 : x
  2. Step 2: Convert to fraction form
    64,265,144/141,283,264 = 141,283,264/x
  3. Step 3: Cross multiply
    64,265,144x = 141,283,264 × 141,283,264
  4. Step 4: Simplify right side
    64,265,144x = 19,960,960,686,493,696
  5. Step 5: Solve for x
    x = 19,960,960,686,493,696/64,265,144
  6. Step 6: Final answer
    x = 310,603,220.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.