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Finding the Third Proportional to 106,369,041 and 232,916,235

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Solution

The third proportional to 106,369,041 and 232,916,235 is: 510,016,561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,369,041 : 232,916,235 = 232,916,235 : x
  2. Step 2: Convert to fraction form
    106,369,041/232,916,235 = 232,916,235/x
  3. Step 3: Cross multiply
    106,369,041x = 232,916,235 × 232,916,235
  4. Step 4: Simplify right side
    106,369,041x = 54,249,972,526,575,224
  5. Step 5: Solve for x
    x = 54,249,972,526,575,224/106,369,041
  6. Step 6: Final answer
    x = 510,016,561.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.