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Finding the Third Proportional to 101,705,583 and 220,749,428.50

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Solution

The third proportional to 101,705,583 and 220,749,428.50 is: 479,131,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,705,583 : 220,749,428.50 = 220,749,428.50 : x
  2. Step 2: Convert to fraction form
    101,705,583/220,749,428.50 = 220,749,428.50/x
  3. Step 3: Cross multiply
    101,705,583x = 220,749,428.50 × 220,749,428.50
  4. Step 4: Simplify right side
    101,705,583x = 48,730,310,183,076,616
  5. Step 5: Solve for x
    x = 48,730,310,183,076,616/101,705,583
  6. Step 6: Final answer
    x = 479,131,122.85

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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.