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Finding the Third Proportional to 105,412,630,910 and 160,588,851,629

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Solution

The third proportional to 105,412,630,910 and 160,588,851,629 is: 244,646,007,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412,630,910 : 160,588,851,629 = 160,588,851,629 : x
  2. Step 2: Convert to fraction form
    105,412,630,910/160,588,851,629 = 160,588,851,629/x
  3. Step 3: Cross multiply
    105,412,630,910x = 160,588,851,629 × 160,588,851,629
  4. Step 4: Simplify right side
    105,412,630,910x = 25,788,779,267,520,976,650,240
  5. Step 5: Solve for x
    x = 25,788,779,267,520,976,650,240/105,412,630,910
  6. Step 6: Final answer
    x = 244,646,007,265.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.