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Finding the Third Proportional to 110,730,037.50 and 242,313,393.38

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Solution

The third proportional to 110,730,037.50 and 242,313,393.38 is: 530,260,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,730,037.50 : 242,313,393.38 = 242,313,393.38 : x
  2. Step 2: Convert to fraction form
    110,730,037.50/242,313,393.38 = 242,313,393.38/x
  3. Step 3: Cross multiply
    110,730,037.50x = 242,313,393.38 × 242,313,393.38
  4. Step 4: Simplify right side
    110,730,037.50x = 58,715,780,608,907,496
  5. Step 5: Solve for x
    x = 58,715,780,608,907,496/110,730,037.50
  6. Step 6: Final answer
    x = 530,260,640.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.