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Finding the Third Proportional to 212,616,040 and 333,095,766

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Solution

The third proportional to 212,616,040 and 333,095,766 is: 521,845,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,616,040 : 333,095,766 = 333,095,766 : x
  2. Step 2: Convert to fraction form
    212,616,040/333,095,766 = 333,095,766/x
  3. Step 3: Cross multiply
    212,616,040x = 333,095,766 × 333,095,766
  4. Step 4: Simplify right side
    212,616,040x = 110,952,789,327,126,752
  5. Step 5: Solve for x
    x = 110,952,789,327,126,752/212,616,040
  6. Step 6: Final answer
    x = 521,845,808.66

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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.