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Finding the Third Proportional to 105,412,630,900.50 and 160,588,851,616.12

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Solution

The third proportional to 105,412,630,900.50 and 160,588,851,616.12 is: 244,646,007,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412,630,900.50 : 160,588,851,616.12 = 160,588,851,616.12 : x
  2. Step 2: Convert to fraction form
    105,412,630,900.50/160,588,851,616.12 = 160,588,851,616.12/x
  3. Step 3: Cross multiply
    105,412,630,900.50x = 160,588,851,616.12 × 160,588,851,616.12
  4. Step 4: Simplify right side
    105,412,630,900.50x = 25,788,779,263,384,205,918,208
  5. Step 5: Solve for x
    x = 25,788,779,263,384,205,918,208/105,412,630,900.50
  6. Step 6: Final answer
    x = 244,646,007,248.66

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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.