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Finding the Third Proportional to 119,852,841,894.75 and 260,804,612,004.75

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Solution

The third proportional to 119,852,841,894.75 and 260,804,612,004.75 is: 567,521,341,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,852,841,894.75 : 260,804,612,004.75 = 260,804,612,004.75 : x
  2. Step 2: Convert to fraction form
    119,852,841,894.75/260,804,612,004.75 = 260,804,612,004.75/x
  3. Step 3: Cross multiply
    119,852,841,894.75x = 260,804,612,004.75 × 260,804,612,004.75
  4. Step 4: Simplify right side
    119,852,841,894.75x = 68,019,045,642,948,185,161,728
  5. Step 5: Solve for x
    x = 68,019,045,642,948,185,161,728/119,852,841,894.75
  6. Step 6: Final answer
    x = 567,521,341,735.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.