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Finding the Third Proportional to 202,546,742.06 and 322,099,471.69

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Solution

The third proportional to 202,546,742.06 and 322,099,471.69 is: 512,217,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,546,742.06 : 322,099,471.69 = 322,099,471.69 : x
  2. Step 2: Convert to fraction form
    202,546,742.06/322,099,471.69 = 322,099,471.69/x
  3. Step 3: Cross multiply
    202,546,742.06x = 322,099,471.69 × 322,099,471.69
  4. Step 4: Simplify right side
    202,546,742.06x = 103,748,069,661,366,608
  5. Step 5: Solve for x
    x = 103,748,069,661,366,608/202,546,742.06
  6. Step 6: Final answer
    x = 512,217,913.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.