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Finding the Third Proportional to 78,825,005 and 184,170,779.50

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Solution

The third proportional to 78,825,005 and 184,170,779.50 is: 430,306,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,825,005 : 184,170,779.50 = 184,170,779.50 : x
  2. Step 2: Convert to fraction form
    78,825,005/184,170,779.50 = 184,170,779.50/x
  3. Step 3: Cross multiply
    78,825,005x = 184,170,779.50 × 184,170,779.50
  4. Step 4: Simplify right side
    78,825,005x = 33,918,876,021,637,620
  5. Step 5: Solve for x
    x = 33,918,876,021,637,620/78,825,005
  6. Step 6: Final answer
    x = 430,306,043.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.