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Finding the Third Proportional to 238,061,781,688 and 513,994,019,588

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Solution

The third proportional to 238,061,781,688 and 513,994,019,588 is: 1,109,753,318,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,061,781,688 : 513,994,019,588 = 513,994,019,588 : x
  2. Step 2: Convert to fraction form
    238,061,781,688/513,994,019,588 = 513,994,019,588/x
  3. Step 3: Cross multiply
    238,061,781,688x = 513,994,019,588 × 513,994,019,588
  4. Step 4: Simplify right side
    238,061,781,688x = 264,189,852,172,229,321,687,040
  5. Step 5: Solve for x
    x = 264,189,852,172,229,321,687,040/238,061,781,688
  6. Step 6: Final answer
    x = 1,109,753,318,230.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.