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Finding the Third Proportional to 158,548,620 and 242,561,677.50

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Solution

The third proportional to 158,548,620 and 242,561,677.50 is: 371,092,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,548,620 : 242,561,677.50 = 242,561,677.50 : x
  2. Step 2: Convert to fraction form
    158,548,620/242,561,677.50 = 242,561,677.50/x
  3. Step 3: Cross multiply
    158,548,620x = 242,561,677.50 × 242,561,677.50
  4. Step 4: Simplify right side
    158,548,620x = 58,836,167,391,614,008
  5. Step 5: Solve for x
    x = 58,836,167,391,614,008/158,548,620
  6. Step 6: Final answer
    x = 371,092,270.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.