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Finding the Third Proportional to 179,051,991 and 284,720,314.50

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Solution

The third proportional to 179,051,991 and 284,720,314.50 is: 452,749,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,051,991 : 284,720,314.50 = 284,720,314.50 : x
  2. Step 2: Convert to fraction form
    179,051,991/284,720,314.50 = 284,720,314.50/x
  3. Step 3: Cross multiply
    179,051,991x = 284,720,314.50 × 284,720,314.50
  4. Step 4: Simplify right side
    179,051,991x = 81,065,657,488,978,912
  5. Step 5: Solve for x
    x = 81,065,657,488,978,912/179,051,991
  6. Step 6: Final answer
    x = 452,749,265.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.