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Finding the Third Proportional to 212,616,147 and 333,095,926.50

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Solution

The third proportional to 212,616,147 and 333,095,926.50 is: 521,846,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,616,147 : 333,095,926.50 = 333,095,926.50 : x
  2. Step 2: Convert to fraction form
    212,616,147/333,095,926.50 = 333,095,926.50/x
  3. Step 3: Cross multiply
    212,616,147x = 333,095,926.50 × 333,095,926.50
  4. Step 4: Simplify right side
    212,616,147x = 110,952,896,250,893,408
  5. Step 5: Solve for x
    x = 110,952,896,250,893,408/212,616,147
  6. Step 6: Final answer
    x = 521,846,048.93

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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.