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Finding the Third Proportional to 89,525,593,578 and 194,156,428,098

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Solution

The third proportional to 89,525,593,578 and 194,156,428,098 is: 421,071,975,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,525,593,578 : 194,156,428,098 = 194,156,428,098 : x
  2. Step 2: Convert to fraction form
    89,525,593,578/194,156,428,098 = 194,156,428,098/x
  3. Step 3: Cross multiply
    89,525,593,578x = 194,156,428,098 × 194,156,428,098
  4. Step 4: Simplify right side
    89,525,593,578x = 37,696,718,571,773,842,423,808
  5. Step 5: Solve for x
    x = 37,696,718,571,773,842,423,808/89,525,593,578
  6. Step 6: Final answer
    x = 421,071,975,791.26

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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.