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Finding the Third Proportional to 100,088,524 and 215,534,648

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Solution

The third proportional to 100,088,524 and 215,534,648 is: 464,140,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,088,524 : 215,534,648 = 215,534,648 : x
  2. Step 2: Convert to fraction form
    100,088,524/215,534,648 = 215,534,648/x
  3. Step 3: Cross multiply
    100,088,524x = 215,534,648 × 215,534,648
  4. Step 4: Simplify right side
    100,088,524x = 46,455,184,488,483,904
  5. Step 5: Solve for x
    x = 46,455,184,488,483,904/100,088,524
  6. Step 6: Final answer
    x = 464,140,968.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.