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Finding the Third Proportional to 161,420,569,018 and 346,796,470,102

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Solution

The third proportional to 161,420,569,018 and 346,796,470,102 is: 745,058,652,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,420,569,018 : 346,796,470,102 = 346,796,470,102 : x
  2. Step 2: Convert to fraction form
    161,420,569,018/346,796,470,102 = 346,796,470,102/x
  3. Step 3: Cross multiply
    161,420,569,018x = 346,796,470,102 × 346,796,470,102
  4. Step 4: Simplify right side
    161,420,569,018x = 120,267,791,675,207,385,612,288
  5. Step 5: Solve for x
    x = 120,267,791,675,207,385,612,288/161,420,569,018
  6. Step 6: Final answer
    x = 745,058,652,728.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.