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Finding the Third Proportional to 99,668,296.13 and 155,994,211.13

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Solution

The third proportional to 99,668,296.13 and 155,994,211.13 is: 244,151,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,668,296.13 : 155,994,211.13 = 155,994,211.13 : x
  2. Step 2: Convert to fraction form
    99,668,296.13/155,994,211.13 = 155,994,211.13/x
  3. Step 3: Cross multiply
    99,668,296.13x = 155,994,211.13 × 155,994,211.13
  4. Step 4: Simplify right side
    99,668,296.13x = 24,334,193,904,511,072
  5. Step 5: Solve for x
    x = 24,334,193,904,511,072/99,668,296.13
  6. Step 6: Final answer
    x = 244,151,800.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.