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Finding the Third Proportional to 47,915,230 and 104,225,704

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Solution

The third proportional to 47,915,230 and 104,225,704 is: 226,712,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,915,230 : 104,225,704 = 104,225,704 : x
  2. Step 2: Convert to fraction form
    47,915,230/104,225,704 = 104,225,704/x
  3. Step 3: Cross multiply
    47,915,230x = 104,225,704 × 104,225,704
  4. Step 4: Simplify right side
    47,915,230x = 10,862,997,374,295,616
  5. Step 5: Solve for x
    x = 10,862,997,374,295,616/47,915,230
  6. Step 6: Final answer
    x = 226,712,829.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.