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Finding the Third Proportional to 172,810,164 and 243,079,176

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Solution

The third proportional to 172,810,164 and 243,079,176 is: 341,921,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,810,164 : 243,079,176 = 243,079,176 : x
  2. Step 2: Convert to fraction form
    172,810,164/243,079,176 = 243,079,176/x
  3. Step 3: Cross multiply
    172,810,164x = 243,079,176 × 243,079,176
  4. Step 4: Simplify right side
    172,810,164x = 59,087,485,804,838,976
  5. Step 5: Solve for x
    x = 59,087,485,804,838,976/172,810,164
  6. Step 6: Final answer
    x = 341,921,357.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.