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Finding the Third Proportional to 52,241,691 and 121,992,895.50

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Solution

The third proportional to 52,241,691 and 121,992,895.50 is: 284,873,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,241,691 : 121,992,895.50 = 121,992,895.50 : x
  2. Step 2: Convert to fraction form
    52,241,691/121,992,895.50 = 121,992,895.50/x
  3. Step 3: Cross multiply
    52,241,691x = 121,992,895.50 × 121,992,895.50
  4. Step 4: Simplify right side
    52,241,691x = 14,882,266,552,473,920
  5. Step 5: Solve for x
    x = 14,882,266,552,473,920/52,241,691
  6. Step 6: Final answer
    x = 284,873,369.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.