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Finding the Third Proportional to 158,245,912,994 and 213,510,891,905

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Solution

The third proportional to 158,245,912,994 and 213,510,891,905 is: 288,076,324,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,245,912,994 : 213,510,891,905 = 213,510,891,905 : x
  2. Step 2: Convert to fraction form
    158,245,912,994/213,510,891,905 = 213,510,891,905/x
  3. Step 3: Cross multiply
    158,245,912,994x = 213,510,891,905 × 213,510,891,905
  4. Step 4: Simplify right side
    158,245,912,994x = 45,586,900,962,068,591,017,984
  5. Step 5: Solve for x
    x = 45,586,900,962,068,591,017,984/158,245,912,994
  6. Step 6: Final answer
    x = 288,076,324,371.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.