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Finding the Third Proportional to 99,460,085 and 209,226,873

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Solution

The third proportional to 99,460,085 and 209,226,873 is: 440,135,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,460,085 : 209,226,873 = 209,226,873 : x
  2. Step 2: Convert to fraction form
    99,460,085/209,226,873 = 209,226,873/x
  3. Step 3: Cross multiply
    99,460,085x = 209,226,873 × 209,226,873
  4. Step 4: Simplify right side
    99,460,085x = 43,775,884,385,358,128
  5. Step 5: Solve for x
    x = 43,775,884,385,358,128/99,460,085
  6. Step 6: Final answer
    x = 440,135,199.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.