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Finding the Third Proportional to 230,542,179 and 497,894,077.50

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Solution

The third proportional to 230,542,179 and 497,894,077.50 is: 1,075,284,850.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,542,179 : 497,894,077.50 = 497,894,077.50 : x
  2. Step 2: Convert to fraction form
    230,542,179/497,894,077.50 = 497,894,077.50/x
  3. Step 3: Cross multiply
    230,542,179x = 497,894,077.50 × 497,894,077.50
  4. Step 4: Simplify right side
    230,542,179x = 247,898,512,409,576,000
  5. Step 5: Solve for x
    x = 247,898,512,409,576,000/230,542,179
  6. Step 6: Final answer
    x = 1,075,284,850.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.