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Finding the Third Proportional to 89,492,326,557 and 193,880,132,374

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Solution

The third proportional to 89,492,326,557 and 193,880,132,374 is: 420,030,489,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,492,326,557 : 193,880,132,374 = 193,880,132,374 : x
  2. Step 2: Convert to fraction form
    89,492,326,557/193,880,132,374 = 193,880,132,374/x
  3. Step 3: Cross multiply
    89,492,326,557x = 193,880,132,374 × 193,880,132,374
  4. Step 4: Simplify right side
    89,492,326,557x = 37,589,505,729,359,761,113,088
  5. Step 5: Solve for x
    x = 37,589,505,729,359,761,113,088/89,492,326,557
  6. Step 6: Final answer
    x = 420,030,489,490.27

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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.