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Finding the Third Proportional to 60,461,729 and 123,461,228

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Solution

The third proportional to 60,461,729 and 123,461,228 is: 252,104,514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,461,729 : 123,461,228 = 123,461,228 : x
  2. Step 2: Convert to fraction form
    60,461,729/123,461,228 = 123,461,228/x
  3. Step 3: Cross multiply
    60,461,729x = 123,461,228 × 123,461,228
  4. Step 4: Simplify right side
    60,461,729x = 15,242,674,819,267,984
  5. Step 5: Solve for x
    x = 15,242,674,819,267,984/60,461,729
  6. Step 6: Final answer
    x = 252,104,514.23

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.