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Finding the Third Proportional to 208,663,578,326 and 451,975,988,893

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Solution

The third proportional to 208,663,578,326 and 451,975,988,893 is: 979,003,121,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,663,578,326 : 451,975,988,893 = 451,975,988,893 : x
  2. Step 2: Convert to fraction form
    208,663,578,326/451,975,988,893 = 451,975,988,893/x
  3. Step 3: Cross multiply
    208,663,578,326x = 451,975,988,893 × 451,975,988,893
  4. Step 4: Simplify right side
    208,663,578,326x = 204,282,294,535,805,263,151,104
  5. Step 5: Solve for x
    x = 204,282,294,535,805,263,151,104/208,663,578,326
  6. Step 6: Final answer
    x = 979,003,121,554.11

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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.