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Finding the Third Proportional to 106,348,751 and 230,847,780

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Solution

The third proportional to 106,348,751 and 230,847,780 is: 501,093,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,348,751 : 230,847,780 = 230,847,780 : x
  2. Step 2: Convert to fraction form
    106,348,751/230,847,780 = 230,847,780/x
  3. Step 3: Cross multiply
    106,348,751x = 230,847,780 × 230,847,780
  4. Step 4: Simplify right side
    106,348,751x = 53,290,697,530,928,400
  5. Step 5: Solve for x
    x = 53,290,697,530,928,400/106,348,751
  6. Step 6: Final answer
    x = 501,093,779.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.