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Finding the Third Proportional to 102,465,372 and 219,574,895

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Solution

The third proportional to 102,465,372 and 219,574,895 is: 470,531,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465,372 : 219,574,895 = 219,574,895 : x
  2. Step 2: Convert to fraction form
    102,465,372/219,574,895 = 219,574,895/x
  3. Step 3: Cross multiply
    102,465,372x = 219,574,895 × 219,574,895
  4. Step 4: Simplify right side
    102,465,372x = 48,213,134,514,261,024
  5. Step 5: Solve for x
    x = 48,213,134,514,261,024/102,465,372
  6. Step 6: Final answer
    x = 470,531,005.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.