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Finding the Third Proportional to 105,412,630,928 and 160,588,851,656

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Solution

The third proportional to 105,412,630,928 and 160,588,851,656 is: 244,646,007,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412,630,928 : 160,588,851,656 = 160,588,851,656 : x
  2. Step 2: Convert to fraction form
    105,412,630,928/160,588,851,656 = 160,588,851,656/x
  3. Step 3: Cross multiply
    105,412,630,928x = 160,588,851,656 × 160,588,851,656
  4. Step 4: Simplify right side
    105,412,630,928x = 25,788,779,276,192,775,667,712
  5. Step 5: Solve for x
    x = 25,788,779,276,192,775,667,712/105,412,630,928
  6. Step 6: Final answer
    x = 244,646,007,306.35

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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.