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Finding the Third Proportional to 105,662,463 and 230,083,131

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Solution

The third proportional to 105,662,463 and 230,083,131 is: 501,012,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,662,463 : 230,083,131 = 230,083,131 : x
  2. Step 2: Convert to fraction form
    105,662,463/230,083,131 = 230,083,131/x
  3. Step 3: Cross multiply
    105,662,463x = 230,083,131 × 230,083,131
  4. Step 4: Simplify right side
    105,662,463x = 52,938,247,170,763,160
  5. Step 5: Solve for x
    x = 52,938,247,170,763,160/105,662,463
  6. Step 6: Final answer
    x = 501,012,806.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.