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Finding the Third Proportional to 159,803,747,288 and 347,739,398,645

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Solution

The third proportional to 159,803,747,288 and 347,739,398,645 is: 756,694,955,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,803,747,288 : 347,739,398,645 = 347,739,398,645 : x
  2. Step 2: Convert to fraction form
    159,803,747,288/347,739,398,645 = 347,739,398,645/x
  3. Step 3: Cross multiply
    159,803,747,288x = 347,739,398,645 × 347,739,398,645
  4. Step 4: Simplify right side
    159,803,747,288x = 120,922,689,369,986,226,454,528
  5. Step 5: Solve for x
    x = 120,922,689,369,986,226,454,528/159,803,747,288
  6. Step 6: Final answer
    x = 756,694,955,044.19

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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.