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Finding the Third Proportional to 101,026,533 and 218,219,370

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Solution

The third proportional to 101,026,533 and 218,219,370 is: 471,358,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,026,533 : 218,219,370 = 218,219,370 : x
  2. Step 2: Convert to fraction form
    101,026,533/218,219,370 = 218,219,370/x
  3. Step 3: Cross multiply
    101,026,533x = 218,219,370 × 218,219,370
  4. Step 4: Simplify right side
    101,026,533x = 47,619,693,443,196,896
  5. Step 5: Solve for x
    x = 47,619,693,443,196,896/101,026,533
  6. Step 6: Final answer
    x = 471,358,286.08

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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.