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Finding the Third Proportional to 76,405,009.50 and 164,909,833.50

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Solution

The third proportional to 76,405,009.50 and 164,909,833.50 is: 355,935,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,405,009.50 : 164,909,833.50 = 164,909,833.50 : x
  2. Step 2: Convert to fraction form
    76,405,009.50/164,909,833.50 = 164,909,833.50/x
  3. Step 3: Cross multiply
    76,405,009.50x = 164,909,833.50 × 164,909,833.50
  4. Step 4: Simplify right side
    76,405,009.50x = 27,195,253,184,997,724
  5. Step 5: Solve for x
    x = 27,195,253,184,997,724/76,405,009.50
  6. Step 6: Final answer
    x = 355,935,472.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.