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Finding the Third Proportional to 161,039,681,048 and 240,163,003,740

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Solution

The third proportional to 161,039,681,048 and 240,163,003,740 is: 358,161,839,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,039,681,048 : 240,163,003,740 = 240,163,003,740 : x
  2. Step 2: Convert to fraction form
    161,039,681,048/240,163,003,740 = 240,163,003,740/x
  3. Step 3: Cross multiply
    161,039,681,048x = 240,163,003,740 × 240,163,003,740
  4. Step 4: Simplify right side
    161,039,681,048x = 57,678,268,365,419,252,285,440
  5. Step 5: Solve for x
    x = 57,678,268,365,419,252,285,440/161,039,681,048
  6. Step 6: Final answer
    x = 358,161,839,306.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.