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Finding the Third Proportional to 191,587,986 and 419,446,779.75

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Solution

The third proportional to 191,587,986 and 419,446,779.75 is: 918,301,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,587,986 : 419,446,779.75 = 419,446,779.75 : x
  2. Step 2: Convert to fraction form
    191,587,986/419,446,779.75 = 419,446,779.75/x
  3. Step 3: Cross multiply
    191,587,986x = 419,446,779.75 × 419,446,779.75
  4. Step 4: Simplify right side
    191,587,986x = 175,935,601,042,645,024
  5. Step 5: Solve for x
    x = 175,935,601,042,645,024/191,587,986
  6. Step 6: Final answer
    x = 918,301,845.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.