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Finding the Third Proportional to 89,031,621 and 193,291,122

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Solution

The third proportional to 89,031,621 and 193,291,122 is: 419,642,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,031,621 : 193,291,122 = 193,291,122 : x
  2. Step 2: Convert to fraction form
    89,031,621/193,291,122 = 193,291,122/x
  3. Step 3: Cross multiply
    89,031,621x = 193,291,122 × 193,291,122
  4. Step 4: Simplify right side
    89,031,621x = 37,361,457,844,018,880
  5. Step 5: Solve for x
    x = 37,361,457,844,018,880/89,031,621
  6. Step 6: Final answer
    x = 419,642,565.47

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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.