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Finding the Third Proportional to 47,891,318 and 105,053,202

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Solution

The third proportional to 47,891,318 and 105,053,202 is: 230,442,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,891,318 : 105,053,202 = 105,053,202 : x
  2. Step 2: Convert to fraction form
    47,891,318/105,053,202 = 105,053,202/x
  3. Step 3: Cross multiply
    47,891,318x = 105,053,202 × 105,053,202
  4. Step 4: Simplify right side
    47,891,318x = 11,036,175,250,452,804
  5. Step 5: Solve for x
    x = 11,036,175,250,452,804/47,891,318
  6. Step 6: Final answer
    x = 230,442,086.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.