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Finding the Third Proportional to 124,782,153 and 269,294,034

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Solution

The third proportional to 124,782,153 and 269,294,034 is: 581,167,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,782,153 : 269,294,034 = 269,294,034 : x
  2. Step 2: Convert to fraction form
    124,782,153/269,294,034 = 269,294,034/x
  3. Step 3: Cross multiply
    124,782,153x = 269,294,034 × 269,294,034
  4. Step 4: Simplify right side
    124,782,153x = 72,519,276,747,993,152
  5. Step 5: Solve for x
    x = 72,519,276,747,993,152/124,782,153
  6. Step 6: Final answer
    x = 581,167,057.98

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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.