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Finding the Third Proportional to 83,376,492.75 and 181,105,866

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Solution

The third proportional to 83,376,492.75 and 181,105,866 is: 393,388,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,376,492.75 : 181,105,866 = 181,105,866 : x
  2. Step 2: Convert to fraction form
    83,376,492.75/181,105,866 = 181,105,866/x
  3. Step 3: Cross multiply
    83,376,492.75x = 181,105,866 × 181,105,866
  4. Step 4: Simplify right side
    83,376,492.75x = 32,799,334,699,609,956
  5. Step 5: Solve for x
    x = 32,799,334,699,609,956/83,376,492.75
  6. Step 6: Final answer
    x = 393,388,275.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.