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Finding the Third Proportional to 161,447,924.25 and 344,421,760.50

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Solution

The third proportional to 161,447,924.25 and 344,421,760.50 is: 734,765,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,447,924.25 : 344,421,760.50 = 344,421,760.50 : x
  2. Step 2: Convert to fraction form
    161,447,924.25/344,421,760.50 = 344,421,760.50/x
  3. Step 3: Cross multiply
    161,447,924.25x = 344,421,760.50 × 344,421,760.50
  4. Step 4: Simplify right side
    161,447,924.25x = 118,626,349,105,919,360
  5. Step 5: Solve for x
    x = 118,626,349,105,919,360/161,447,924.25
  6. Step 6: Final answer
    x = 734,765,402.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.