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Finding the Third Proportional to 110,509,119 and 240,623,671.50

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Solution

The third proportional to 110,509,119 and 240,623,671.50 is: 523,936,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,509,119 : 240,623,671.50 = 240,623,671.50 : x
  2. Step 2: Convert to fraction form
    110,509,119/240,623,671.50 = 240,623,671.50/x
  3. Step 3: Cross multiply
    110,509,119x = 240,623,671.50 × 240,623,671.50
  4. Step 4: Simplify right side
    110,509,119x = 57,899,751,286,139,912
  5. Step 5: Solve for x
    x = 57,899,751,286,139,912/110,509,119
  6. Step 6: Final answer
    x = 523,936,411.86

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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.