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Finding the Third Proportional to 124,178,575.50 and 261,228,375

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Solution

The third proportional to 124,178,575.50 and 261,228,375 is: 549,533,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,178,575.50 : 261,228,375 = 261,228,375 : x
  2. Step 2: Convert to fraction form
    124,178,575.50/261,228,375 = 261,228,375/x
  3. Step 3: Cross multiply
    124,178,575.50x = 261,228,375 × 261,228,375
  4. Step 4: Simplify right side
    124,178,575.50x = 68,240,263,905,140,624
  5. Step 5: Solve for x
    x = 68,240,263,905,140,624/124,178,575.50
  6. Step 6: Final answer
    x = 549,533,312.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.