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Finding the Third Proportional to 47,820,945 and 102,290,370

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Solution

The third proportional to 47,820,945 and 102,290,370 is: 218,802,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,820,945 : 102,290,370 = 102,290,370 : x
  2. Step 2: Convert to fraction form
    47,820,945/102,290,370 = 102,290,370/x
  3. Step 3: Cross multiply
    47,820,945x = 102,290,370 × 102,290,370
  4. Step 4: Simplify right side
    47,820,945x = 10,463,319,794,736,900
  5. Step 5: Solve for x
    x = 10,463,319,794,736,900/47,820,945
  6. Step 6: Final answer
    x = 218,802,029.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.