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Finding the Third Proportional to 158,946,536,729 and 244,312,222,844

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Solution

The third proportional to 158,946,536,729 and 244,312,222,844 is: 375,525,402,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,946,536,729 : 244,312,222,844 = 244,312,222,844 : x
  2. Step 2: Convert to fraction form
    158,946,536,729/244,312,222,844 = 244,312,222,844/x
  3. Step 3: Cross multiply
    158,946,536,729x = 244,312,222,844 × 244,312,222,844
  4. Step 4: Simplify right side
    158,946,536,729x = 59,688,462,230,976,313,950,208
  5. Step 5: Solve for x
    x = 59,688,462,230,976,313,950,208/158,946,536,729
  6. Step 6: Final answer
    x = 375,525,402,813.55

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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.