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Finding the Third Proportional to 220,669,807.50 and 468,238,281.75

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Solution

The third proportional to 220,669,807.50 and 468,238,281.75 is: 993,552,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,669,807.50 : 468,238,281.75 = 468,238,281.75 : x
  2. Step 2: Convert to fraction form
    220,669,807.50/468,238,281.75 = 468,238,281.75/x
  3. Step 3: Cross multiply
    220,669,807.50x = 468,238,281.75 × 468,238,281.75
  4. Step 4: Simplify right side
    220,669,807.50x = 219,247,088,496,192,384
  5. Step 5: Solve for x
    x = 219,247,088,496,192,384/220,669,807.50
  6. Step 6: Final answer
    x = 993,552,724.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.