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Finding the Third Proportional to 122,779,394.16 and 184,124,006.72

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Solution

The third proportional to 122,779,394.16 and 184,124,006.72 is: 276,118,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,779,394.16 : 184,124,006.72 = 184,124,006.72 : x
  2. Step 2: Convert to fraction form
    122,779,394.16/184,124,006.72 = 184,124,006.72/x
  3. Step 3: Cross multiply
    122,779,394.16x = 184,124,006.72 × 184,124,006.72
  4. Step 4: Simplify right side
    122,779,394.16x = 33,901,649,850,166,296
  5. Step 5: Solve for x
    x = 33,901,649,850,166,296/122,779,394.16
  6. Step 6: Final answer
    x = 276,118,399.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.