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Finding the Third Proportional to 161,412,276 and 226,493,376

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Solution

The third proportional to 161,412,276 and 226,493,376 is: 317,815,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,412,276 : 226,493,376 = 226,493,376 : x
  2. Step 2: Convert to fraction form
    161,412,276/226,493,376 = 226,493,376/x
  3. Step 3: Cross multiply
    161,412,276x = 226,493,376 × 226,493,376
  4. Step 4: Simplify right side
    161,412,276x = 51,299,249,371,877,376
  5. Step 5: Solve for x
    x = 51,299,249,371,877,376/161,412,276
  6. Step 6: Final answer
    x = 317,815,042.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.