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Finding the Third Proportional to 161,039,681,040 and 240,163,003,728

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Solution

The third proportional to 161,039,681,040 and 240,163,003,728 is: 358,161,839,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,039,681,040 : 240,163,003,728 = 240,163,003,728 : x
  2. Step 2: Convert to fraction form
    161,039,681,040/240,163,003,728 = 240,163,003,728/x
  3. Step 3: Cross multiply
    161,039,681,040x = 240,163,003,728 × 240,163,003,728
  4. Step 4: Simplify right side
    161,039,681,040x = 57,678,268,359,655,339,065,344
  5. Step 5: Solve for x
    x = 57,678,268,359,655,339,065,344/161,039,681,040
  6. Step 6: Final answer
    x = 358,161,839,288.10

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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.