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Finding the Third Proportional to 174,750,298 and 291,215,576

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Solution

The third proportional to 174,750,298 and 291,215,576 is: 485,301,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750,298 : 291,215,576 = 291,215,576 : x
  2. Step 2: Convert to fraction form
    174,750,298/291,215,576 = 291,215,576/x
  3. Step 3: Cross multiply
    174,750,298x = 291,215,576 × 291,215,576
  4. Step 4: Simplify right side
    174,750,298x = 84,806,511,705,011,776
  5. Step 5: Solve for x
    x = 84,806,511,705,011,776/174,750,298
  6. Step 6: Final answer
    x = 485,301,099.20

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.