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Finding the Third Proportional to 82,050,054 and 175,083,276

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Solution

The third proportional to 82,050,054 and 175,083,276 is: 373,603,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,050,054 : 175,083,276 = 175,083,276 : x
  2. Step 2: Convert to fraction form
    82,050,054/175,083,276 = 175,083,276/x
  3. Step 3: Cross multiply
    82,050,054x = 175,083,276 × 175,083,276
  4. Step 4: Simplify right side
    82,050,054x = 30,654,153,534,892,176
  5. Step 5: Solve for x
    x = 30,654,153,534,892,176/82,050,054
  6. Step 6: Final answer
    x = 373,603,087.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.