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Finding the Third Proportional to 176,548,005 and 242,352,211.50

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Solution

The third proportional to 176,548,005 and 242,352,211.50 is: 332,683,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,548,005 : 242,352,211.50 = 242,352,211.50 : x
  2. Step 2: Convert to fraction form
    176,548,005/242,352,211.50 = 242,352,211.50/x
  3. Step 3: Cross multiply
    176,548,005x = 242,352,211.50 × 242,352,211.50
  4. Step 4: Simplify right side
    176,548,005x = 58,734,594,418,940,736
  5. Step 5: Solve for x
    x = 58,734,594,418,940,736/176,548,005
  6. Step 6: Final answer
    x = 332,683,421.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.