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Finding the Third Proportional to 232,815,682.69 and 506,965,665.38

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Solution

The third proportional to 232,815,682.69 and 506,965,665.38 is: 1,103,938,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,815,682.69 : 506,965,665.38 = 506,965,665.38 : x
  2. Step 2: Convert to fraction form
    232,815,682.69/506,965,665.38 = 506,965,665.38/x
  3. Step 3: Cross multiply
    232,815,682.69x = 506,965,665.38 × 506,965,665.38
  4. Step 4: Simplify right side
    232,815,682.69x = 257,014,185,869,116,480
  5. Step 5: Solve for x
    x = 257,014,185,869,116,480/232,815,682.69
  6. Step 6: Final answer
    x = 1,103,938,458.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.