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Finding the Third Proportional to 96,848,140,527 and 209,811,778,673

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Solution

The third proportional to 96,848,140,527 and 209,811,778,673 is: 454,536,165,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,848,140,527 : 209,811,778,673 = 209,811,778,673 : x
  2. Step 2: Convert to fraction form
    96,848,140,527/209,811,778,673 = 209,811,778,673/x
  3. Step 3: Cross multiply
    96,848,140,527x = 209,811,778,673 × 209,811,778,673
  4. Step 4: Simplify right side
    96,848,140,527x = 44,020,982,469,927,936,983,040
  5. Step 5: Solve for x
    x = 44,020,982,469,927,936,983,040/96,848,140,527
  6. Step 6: Final answer
    x = 454,536,165,902.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.