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Finding the Third Proportional to 181,630,241,548.50 and 389,167,556,775

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Solution

The third proportional to 181,630,241,548.50 and 389,167,556,775 is: 833,844,551,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,630,241,548.50 : 389,167,556,775 = 389,167,556,775 : x
  2. Step 2: Convert to fraction form
    181,630,241,548.50/389,167,556,775 = 389,167,556,775/x
  3. Step 3: Cross multiply
    181,630,241,548.50x = 389,167,556,775 × 389,167,556,775
  4. Step 4: Simplify right side
    181,630,241,548.50x = 151,451,387,246,222,864,547,840
  5. Step 5: Solve for x
    x = 151,451,387,246,222,864,547,840/181,630,241,548.50
  6. Step 6: Final answer
    x = 833,844,551,188.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.