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Finding the Third Proportional to 184,793,973.75 and 405,725,935.50

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Solution

The third proportional to 184,793,973.75 and 405,725,935.50 is: 890,794,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,793,973.75 : 405,725,935.50 = 405,725,935.50 : x
  2. Step 2: Convert to fraction form
    184,793,973.75/405,725,935.50 = 405,725,935.50/x
  3. Step 3: Cross multiply
    184,793,973.75x = 405,725,935.50 × 405,725,935.50
  4. Step 4: Simplify right side
    184,793,973.75x = 164,613,534,737,350,176
  5. Step 5: Solve for x
    x = 164,613,534,737,350,176/184,793,973.75
  6. Step 6: Final answer
    x = 890,794,929.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.