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Finding the Third Proportional to 105,412,630,891.40 and 160,588,851,599.81

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Solution

The third proportional to 105,412,630,891.40 and 160,588,851,599.81 is: 244,646,007,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412,630,891.40 : 160,588,851,599.81 = 160,588,851,599.81 : x
  2. Step 2: Convert to fraction form
    105,412,630,891.40/160,588,851,599.81 = 160,588,851,599.81/x
  3. Step 3: Cross multiply
    105,412,630,891.40x = 160,588,851,599.81 × 160,588,851,599.81
  4. Step 4: Simplify right side
    105,412,630,891.40x = 25,788,779,258,145,797,046,272
  5. Step 5: Solve for x
    x = 25,788,779,258,145,797,046,272/105,412,630,891.40
  6. Step 6: Final answer
    x = 244,646,007,220.09

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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.