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Finding the Third Proportional to 101,989,023.75 and 218,530,396.13

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Solution

The third proportional to 101,989,023.75 and 218,530,396.13 is: 468,241,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,989,023.75 : 218,530,396.13 = 218,530,396.13 : x
  2. Step 2: Convert to fraction form
    101,989,023.75/218,530,396.13 = 218,530,396.13/x
  3. Step 3: Cross multiply
    101,989,023.75x = 218,530,396.13 × 218,530,396.13
  4. Step 4: Simplify right side
    101,989,023.75x = 47,755,534,030,549,416
  5. Step 5: Solve for x
    x = 47,755,534,030,549,416/101,989,023.75
  6. Step 6: Final answer
    x = 468,241,897.75

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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.