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Finding the Third Proportional to 89,031,586.50 and 193,291,051.50

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Solution

The third proportional to 89,031,586.50 and 193,291,051.50 is: 419,642,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,031,586.50 : 193,291,051.50 = 193,291,051.50 : x
  2. Step 2: Convert to fraction form
    89,031,586.50/193,291,051.50 = 193,291,051.50/x
  3. Step 3: Cross multiply
    89,031,586.50x = 193,291,051.50 × 193,291,051.50
  4. Step 4: Simplify right side
    89,031,586.50x = 37,361,430,589,975,656
  5. Step 5: Solve for x
    x = 37,361,430,589,975,656/89,031,586.50
  6. Step 6: Final answer
    x = 419,642,421.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.