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Finding the Third Proportional to 84,176,465,292 and 183,171,381,624

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Solution

The third proportional to 84,176,465,292 and 183,171,381,624 is: 398,588,310,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,176,465,292 : 183,171,381,624 = 183,171,381,624 : x
  2. Step 2: Convert to fraction form
    84,176,465,292/183,171,381,624 = 183,171,381,624/x
  3. Step 3: Cross multiply
    84,176,465,292x = 183,171,381,624 × 183,171,381,624
  4. Step 4: Simplify right side
    84,176,465,292x = 33,551,755,046,045,043,654,656
  5. Step 5: Solve for x
    x = 33,551,755,046,045,043,654,656/84,176,465,292
  6. Step 6: Final answer
    x = 398,588,310,041.97

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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.