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Finding the Third Proportional to 74,352,006 and 161,056,188

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Solution

The third proportional to 74,352,006 and 161,056,188 is: 348,868,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,352,006 : 161,056,188 = 161,056,188 : x
  2. Step 2: Convert to fraction form
    74,352,006/161,056,188 = 161,056,188/x
  3. Step 3: Cross multiply
    74,352,006x = 161,056,188 × 161,056,188
  4. Step 4: Simplify right side
    74,352,006x = 25,939,095,693,091,344
  5. Step 5: Solve for x
    x = 25,939,095,693,091,344/74,352,006
  6. Step 6: Final answer
    x = 348,868,807.83

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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.