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Finding the Third Proportional to 158,548,626 and 242,561,686.50

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Solution

The third proportional to 158,548,626 and 242,561,686.50 is: 371,092,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,548,626 : 242,561,686.50 = 242,561,686.50 : x
  2. Step 2: Convert to fraction form
    158,548,626/242,561,686.50 = 242,561,686.50/x
  3. Step 3: Cross multiply
    158,548,626x = 242,561,686.50 × 242,561,686.50
  4. Step 4: Simplify right side
    158,548,626x = 58,836,171,757,724,280
  5. Step 5: Solve for x
    x = 58,836,171,757,724,280/158,548,626
  6. Step 6: Final answer
    x = 371,092,284.07

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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.