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Finding the Third Proportional to 209,189,745 and 456,045,426

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Solution

The third proportional to 209,189,745 and 456,045,426 is: 994,204,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189,745 : 456,045,426 = 456,045,426 : x
  2. Step 2: Convert to fraction form
    209,189,745/456,045,426 = 456,045,426/x
  3. Step 3: Cross multiply
    209,189,745x = 456,045,426 × 456,045,426
  4. Step 4: Simplify right side
    209,189,745x = 207,977,430,575,521,472
  5. Step 5: Solve for x
    x = 207,977,430,575,521,472/209,189,745
  6. Step 6: Final answer
    x = 994,204,713.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.