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Finding the Third Proportional to 255,367,809 and 396,225,877.50

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Solution

The third proportional to 255,367,809 and 396,225,877.50 is: 614,779,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,367,809 : 396,225,877.50 = 396,225,877.50 : x
  2. Step 2: Convert to fraction form
    255,367,809/396,225,877.50 = 396,225,877.50/x
  3. Step 3: Cross multiply
    255,367,809x = 396,225,877.50 × 396,225,877.50
  4. Step 4: Simplify right side
    255,367,809x = 156,994,946,000,644,992
  5. Step 5: Solve for x
    x = 156,994,946,000,644,992/255,367,809
  6. Step 6: Final answer
    x = 614,779,703.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.