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Finding the Third Proportional to 102,714,525 and 209,016,265

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Solution

The third proportional to 102,714,525 and 209,016,265 is: 425,332,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714,525 : 209,016,265 = 209,016,265 : x
  2. Step 2: Convert to fraction form
    102,714,525/209,016,265 = 209,016,265/x
  3. Step 3: Cross multiply
    102,714,525x = 209,016,265 × 209,016,265
  4. Step 4: Simplify right side
    102,714,525x = 43,687,799,034,550,224
  5. Step 5: Solve for x
    x = 43,687,799,034,550,224/102,714,525
  6. Step 6: Final answer
    x = 425,332,240.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.