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Finding the Third Proportional to 89,031,604 and 193,291,088

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Solution

The third proportional to 89,031,604 and 193,291,088 is: 419,642,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,031,604 : 193,291,088 = 193,291,088 : x
  2. Step 2: Convert to fraction form
    89,031,604/193,291,088 = 193,291,088/x
  3. Step 3: Cross multiply
    89,031,604x = 193,291,088 × 193,291,088
  4. Step 4: Simplify right side
    89,031,604x = 37,361,444,700,223,744
  5. Step 5: Solve for x
    x = 37,361,444,700,223,744/89,031,604
  6. Step 6: Final answer
    x = 419,642,497.96

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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.