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Finding the Third Proportional to 61,982,158 and 135,124,592

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Solution

The third proportional to 61,982,158 and 135,124,592 is: 294,579,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,982,158 : 135,124,592 = 135,124,592 : x
  2. Step 2: Convert to fraction form
    61,982,158/135,124,592 = 135,124,592/x
  3. Step 3: Cross multiply
    61,982,158x = 135,124,592 × 135,124,592
  4. Step 4: Simplify right side
    61,982,158x = 18,258,655,363,166,464
  5. Step 5: Solve for x
    x = 18,258,655,363,166,464/61,982,158
  6. Step 6: Final answer
    x = 294,579,213.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.