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Finding the Third Proportional to 101,534,400 and 154,681,056

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Solution

The third proportional to 101,534,400 and 154,681,056 is: 235,646,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,534,400 : 154,681,056 = 154,681,056 : x
  2. Step 2: Convert to fraction form
    101,534,400/154,681,056 = 154,681,056/x
  3. Step 3: Cross multiply
    101,534,400x = 154,681,056 × 154,681,056
  4. Step 4: Simplify right side
    101,534,400x = 23,926,229,085,275,136
  5. Step 5: Solve for x
    x = 23,926,229,085,275,136/101,534,400
  6. Step 6: Final answer
    x = 235,646,530.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.