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Finding the Third Proportional to 73,597,736,106 and 160,090,554,924

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Solution

The third proportional to 73,597,736,106 and 160,090,554,924 is: 348,230,626,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,597,736,106 : 160,090,554,924 = 160,090,554,924 : x
  2. Step 2: Convert to fraction form
    73,597,736,106/160,090,554,924 = 160,090,554,924/x
  3. Step 3: Cross multiply
    73,597,736,106x = 160,090,554,924 × 160,090,554,924
  4. Step 4: Simplify right side
    73,597,736,106x = 25,628,985,775,874,262,433,792
  5. Step 5: Solve for x
    x = 25,628,985,775,874,262,433,792/73,597,736,106
  6. Step 6: Final answer
    x = 348,230,626,808.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.