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Finding the Third Proportional to 93,137,964 and 195,926,916

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Solution

The third proportional to 93,137,964 and 195,926,916 is: 412,155,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,137,964 : 195,926,916 = 195,926,916 : x
  2. Step 2: Convert to fraction form
    93,137,964/195,926,916 = 195,926,916/x
  3. Step 3: Cross multiply
    93,137,964x = 195,926,916 × 195,926,916
  4. Step 4: Simplify right side
    93,137,964x = 38,387,356,413,271,056
  5. Step 5: Solve for x
    x = 38,387,356,413,271,056/93,137,964
  6. Step 6: Final answer
    x = 412,155,846.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.