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Finding the Third Proportional to 83,582,306,708.50 and 127,804,338,649.50

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Solution

The third proportional to 83,582,306,708.50 and 127,804,338,649.50 is: 195,423,524,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,582,306,708.50 : 127,804,338,649.50 = 127,804,338,649.50 : x
  2. Step 2: Convert to fraction form
    83,582,306,708.50/127,804,338,649.50 = 127,804,338,649.50/x
  3. Step 3: Cross multiply
    83,582,306,708.50x = 127,804,338,649.50 × 127,804,338,649.50
  4. Step 4: Simplify right side
    83,582,306,708.50x = 16,333,948,977,636,079,304,704
  5. Step 5: Solve for x
    x = 16,333,948,977,636,079,304,704/83,582,306,708.50
  6. Step 6: Final answer
    x = 195,423,524,677.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.