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Finding the Third Proportional to 260,038,066.50 and 541,599,493.50

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Solution

The third proportional to 260,038,066.50 and 541,599,493.50 is: 1,128,027,197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038,066.50 : 541,599,493.50 = 541,599,493.50 : x
  2. Step 2: Convert to fraction form
    260,038,066.50/541,599,493.50 = 541,599,493.50/x
  3. Step 3: Cross multiply
    260,038,066.50x = 541,599,493.50 × 541,599,493.50
  4. Step 4: Simplify right side
    260,038,066.50x = 293,330,011,359,456,512
  5. Step 5: Solve for x
    x = 293,330,011,359,456,512/260,038,066.50
  6. Step 6: Final answer
    x = 1,128,027,197.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.