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Finding the Third Proportional to 175,181,683.50 and 413,532,814.50

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Solution

The third proportional to 175,181,683.50 and 413,532,814.50 is: 976,183,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,181,683.50 : 413,532,814.50 = 413,532,814.50 : x
  2. Step 2: Convert to fraction form
    175,181,683.50/413,532,814.50 = 413,532,814.50/x
  3. Step 3: Cross multiply
    175,181,683.50x = 413,532,814.50 × 413,532,814.50
  4. Step 4: Simplify right side
    175,181,683.50x = 171,009,388,668,291,424
  5. Step 5: Solve for x
    x = 171,009,388,668,291,424/175,181,683.50
  6. Step 6: Final answer
    x = 976,183,041.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.