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Finding the Third Proportional to 47,699,498 and 102,952,894

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Solution

The third proportional to 47,699,498 and 102,952,894 is: 222,209,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,699,498 : 102,952,894 = 102,952,894 : x
  2. Step 2: Convert to fraction form
    47,699,498/102,952,894 = 102,952,894/x
  3. Step 3: Cross multiply
    47,699,498x = 102,952,894 × 102,952,894
  4. Step 4: Simplify right side
    47,699,498x = 10,599,298,382,975,236
  5. Step 5: Solve for x
    x = 10,599,298,382,975,236/47,699,498
  6. Step 6: Final answer
    x = 222,209,851.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.