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Finding the Third Proportional to 114,975,621 and 172,421,203.50

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Solution

The third proportional to 114,975,621 and 172,421,203.50 is: 258,568,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,975,621 : 172,421,203.50 = 172,421,203.50 : x
  2. Step 2: Convert to fraction form
    114,975,621/172,421,203.50 = 172,421,203.50/x
  3. Step 3: Cross multiply
    114,975,621x = 172,421,203.50 × 172,421,203.50
  4. Step 4: Simplify right side
    114,975,621x = 29,729,071,416,388,412
  5. Step 5: Solve for x
    x = 29,729,071,416,388,412/114,975,621
  6. Step 6: Final answer
    x = 258,568,478.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.