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Finding the Third Proportional to 158,946,536,732 and 244,312,222,849

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Solution

The third proportional to 158,946,536,732 and 244,312,222,849 is: 375,525,402,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,946,536,732 : 244,312,222,849 = 244,312,222,849 : x
  2. Step 2: Convert to fraction form
    158,946,536,732/244,312,222,849 = 244,312,222,849/x
  3. Step 3: Cross multiply
    158,946,536,732x = 244,312,222,849 × 244,312,222,849
  4. Step 4: Simplify right side
    158,946,536,732x = 59,688,462,233,419,437,309,952
  5. Step 5: Solve for x
    x = 59,688,462,233,419,437,309,952/158,946,536,732
  6. Step 6: Final answer
    x = 375,525,402,821.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.