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Finding the Third Proportional to 93,471,569 and 216,369,756

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Solution

The third proportional to 93,471,569 and 216,369,756 is: 500,856,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,471,569 : 216,369,756 = 216,369,756 : x
  2. Step 2: Convert to fraction form
    93,471,569/216,369,756 = 216,369,756/x
  3. Step 3: Cross multiply
    93,471,569x = 216,369,756 × 216,369,756
  4. Step 4: Simplify right side
    93,471,569x = 46,815,871,311,499,536
  5. Step 5: Solve for x
    x = 46,815,871,311,499,536/93,471,569
  6. Step 6: Final answer
    x = 500,856,803.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.