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Finding the Third Proportional to 161,420,569,016 and 346,796,470,097

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Solution

The third proportional to 161,420,569,016 and 346,796,470,097 is: 745,058,652,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,420,569,016 : 346,796,470,097 = 346,796,470,097 : x
  2. Step 2: Convert to fraction form
    161,420,569,016/346,796,470,097 = 346,796,470,097/x
  3. Step 3: Cross multiply
    161,420,569,016x = 346,796,470,097 × 346,796,470,097
  4. Step 4: Simplify right side
    161,420,569,016x = 120,267,791,671,739,417,624,576
  5. Step 5: Solve for x
    x = 120,267,791,671,739,417,624,576/161,420,569,016
  6. Step 6: Final answer
    x = 745,058,652,716.18

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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.