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Finding the Third Proportional to 174,750,294 and 291,215,569

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Solution

The third proportional to 174,750,294 and 291,215,569 is: 485,301,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750,294 : 291,215,569 = 291,215,569 : x
  2. Step 2: Convert to fraction form
    174,750,294/291,215,569 = 291,215,569/x
  3. Step 3: Cross multiply
    174,750,294x = 291,215,569 × 291,215,569
  4. Step 4: Simplify right side
    174,750,294x = 84,806,507,627,993,760
  5. Step 5: Solve for x
    x = 84,806,507,627,993,760/174,750,294
  6. Step 6: Final answer
    x = 485,301,086.98

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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.