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Finding the Third Proportional to 74,346,048 and 161,048,294

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Solution

The third proportional to 74,346,048 and 161,048,294 is: 348,862,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,346,048 : 161,048,294 = 161,048,294 : x
  2. Step 2: Convert to fraction form
    74,346,048/161,048,294 = 161,048,294/x
  3. Step 3: Cross multiply
    74,346,048x = 161,048,294 × 161,048,294
  4. Step 4: Simplify right side
    74,346,048x = 25,936,553,000,310,436
  5. Step 5: Solve for x
    x = 25,936,553,000,310,436/74,346,048
  6. Step 6: Final answer
    x = 348,862,564.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.