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Finding the Third Proportional to 212,616,036 and 333,095,760

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Solution

The third proportional to 212,616,036 and 333,095,760 is: 521,845,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,616,036 : 333,095,760 = 333,095,760 : x
  2. Step 2: Convert to fraction form
    212,616,036/333,095,760 = 333,095,760/x
  3. Step 3: Cross multiply
    212,616,036x = 333,095,760 × 333,095,760
  4. Step 4: Simplify right side
    212,616,036x = 110,952,785,329,977,600
  5. Step 5: Solve for x
    x = 110,952,785,329,977,600/212,616,036
  6. Step 6: Final answer
    x = 521,845,799.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.