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Finding the Third Proportional to 216,977,536 and 327,484,074

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Solution

The third proportional to 216,977,536 and 327,484,074 is: 494,271,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,977,536 : 327,484,074 = 327,484,074 : x
  2. Step 2: Convert to fraction form
    216,977,536/327,484,074 = 327,484,074/x
  3. Step 3: Cross multiply
    216,977,536x = 327,484,074 × 327,484,074
  4. Step 4: Simplify right side
    216,977,536x = 107,245,818,723,637,472
  5. Step 5: Solve for x
    x = 107,245,818,723,637,472/216,977,536
  6. Step 6: Final answer
    x = 494,271,530.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.