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Finding the Third Proportional to 102,731,266 and 213,965,572

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Solution

The third proportional to 102,731,266 and 213,965,572 is: 445,641,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,731,266 : 213,965,572 = 213,965,572 : x
  2. Step 2: Convert to fraction form
    102,731,266/213,965,572 = 213,965,572/x
  3. Step 3: Cross multiply
    102,731,266x = 213,965,572 × 213,965,572
  4. Step 4: Simplify right side
    102,731,266x = 45,781,266,001,287,184
  5. Step 5: Solve for x
    x = 45,781,266,001,287,184/102,731,266
  6. Step 6: Final answer
    x = 445,641,018.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.