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Finding the Third Proportional to 107,849,706,174 and 234,471,230,172

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Solution

The third proportional to 107,849,706,174 and 234,471,230,172 is: 509,753,431,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,849,706,174 : 234,471,230,172 = 234,471,230,172 : x
  2. Step 2: Convert to fraction form
    107,849,706,174/234,471,230,172 = 234,471,230,172/x
  3. Step 3: Cross multiply
    107,849,706,174x = 234,471,230,172 × 234,471,230,172
  4. Step 4: Simplify right side
    107,849,706,174x = 54,976,757,778,371,001,188,352
  5. Step 5: Solve for x
    x = 54,976,757,778,371,001,188,352/107,849,706,174
  6. Step 6: Final answer
    x = 509,753,431,220.98

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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.