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Finding the Third Proportional to 100,581,290 and 148,986,111

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Solution

The third proportional to 100,581,290 and 148,986,111 is: 220,685,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581,290 : 148,986,111 = 148,986,111 : x
  2. Step 2: Convert to fraction form
    100,581,290/148,986,111 = 148,986,111/x
  3. Step 3: Cross multiply
    100,581,290x = 148,986,111 × 148,986,111
  4. Step 4: Simplify right side
    100,581,290x = 22,196,861,270,904,320
  5. Step 5: Solve for x
    x = 22,196,861,270,904,320/100,581,290
  6. Step 6: Final answer
    x = 220,685,788.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.