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Finding the Third Proportional to 101,705,570.50 and 220,749,403.50

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Solution

The third proportional to 101,705,570.50 and 220,749,403.50 is: 479,131,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,705,570.50 : 220,749,403.50 = 220,749,403.50 : x
  2. Step 2: Convert to fraction form
    101,705,570.50/220,749,403.50 = 220,749,403.50/x
  3. Step 3: Cross multiply
    101,705,570.50x = 220,749,403.50 × 220,749,403.50
  4. Step 4: Simplify right side
    101,705,570.50x = 48,730,299,145,605,816
  5. Step 5: Solve for x
    x = 48,730,299,145,605,816/101,705,570.50
  6. Step 6: Final answer
    x = 479,131,073.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.