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Finding the Third Proportional to 86,226,174 and 130,234,473

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Solution

The third proportional to 86,226,174 and 130,234,473 is: 196,703,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,226,174 : 130,234,473 = 130,234,473 : x
  2. Step 2: Convert to fraction form
    86,226,174/130,234,473 = 130,234,473/x
  3. Step 3: Cross multiply
    86,226,174x = 130,234,473 × 130,234,473
  4. Step 4: Simplify right side
    86,226,174x = 16,961,017,957,587,728
  5. Step 5: Solve for x
    x = 16,961,017,957,587,728/86,226,174
  6. Step 6: Final answer
    x = 196,703,821.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.