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Finding the Third Proportional to 161,420,569,014 and 346,796,470,092.75

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Solution

The third proportional to 161,420,569,014 and 346,796,470,092.75 is: 745,058,652,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,420,569,014 : 346,796,470,092.75 = 346,796,470,092.75 : x
  2. Step 2: Convert to fraction form
    161,420,569,014/346,796,470,092.75 = 346,796,470,092.75/x
  3. Step 3: Cross multiply
    161,420,569,014x = 346,796,470,092.75 × 346,796,470,092.75
  4. Step 4: Simplify right side
    161,420,569,014x = 120,267,791,668,791,643,996,160
  5. Step 5: Solve for x
    x = 120,267,791,668,791,643,996,160/161,420,569,014
  6. Step 6: Final answer
    x = 745,058,652,707.15

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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.