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Finding the Third Proportional to 93,103,898 and 202,323,314

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Solution

The third proportional to 93,103,898 and 202,323,314 is: 439,667,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,103,898 : 202,323,314 = 202,323,314 : x
  2. Step 2: Convert to fraction form
    93,103,898/202,323,314 = 202,323,314/x
  3. Step 3: Cross multiply
    93,103,898x = 202,323,314 × 202,323,314
  4. Step 4: Simplify right side
    93,103,898x = 40,934,723,387,942,592
  5. Step 5: Solve for x
    x = 40,934,723,387,942,592/93,103,898
  6. Step 6: Final answer
    x = 439,667,127.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.