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Finding the Third Proportional to 301,661,779.50 and 461,261,445.75

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Solution

The third proportional to 301,661,779.50 and 461,261,445.75 is: 705,300,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,661,779.50 : 461,261,445.75 = 461,261,445.75 : x
  2. Step 2: Convert to fraction form
    301,661,779.50/461,261,445.75 = 461,261,445.75/x
  3. Step 3: Cross multiply
    301,661,779.50x = 461,261,445.75 × 461,261,445.75
  4. Step 4: Simplify right side
    301,661,779.50x = 212,762,121,335,380,192
  5. Step 5: Solve for x
    x = 212,762,121,335,380,192/301,661,779.50
  6. Step 6: Final answer
    x = 705,300,226.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.