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Finding the Third Proportional to 158,946,536,724 and 244,312,222,836

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Solution

The third proportional to 158,946,536,724 and 244,312,222,836 is: 375,525,402,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,946,536,724 : 244,312,222,836 = 244,312,222,836 : x
  2. Step 2: Convert to fraction form
    158,946,536,724/244,312,222,836 = 244,312,222,836/x
  3. Step 3: Cross multiply
    158,946,536,724x = 244,312,222,836 × 244,312,222,836
  4. Step 4: Simplify right side
    158,946,536,724x = 59,688,462,227,067,323,285,504
  5. Step 5: Solve for x
    x = 59,688,462,227,067,323,285,504/158,946,536,724
  6. Step 6: Final answer
    x = 375,525,402,800.77

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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.