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Finding the Third Proportional to 161,203,432.50 and 349,776,073.13

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Solution

The third proportional to 161,203,432.50 and 349,776,073.13 is: 758,937,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,203,432.50 : 349,776,073.13 = 349,776,073.13 : x
  2. Step 2: Convert to fraction form
    161,203,432.50/349,776,073.13 = 349,776,073.13/x
  3. Step 3: Cross multiply
    161,203,432.50x = 349,776,073.13 × 349,776,073.13
  4. Step 4: Simplify right side
    161,203,432.50x = 122,343,301,330,745,344
  5. Step 5: Solve for x
    x = 122,343,301,330,745,344/161,203,432.50
  6. Step 6: Final answer
    x = 758,937,321.83

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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.