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Finding the Third Proportional to 104,262,848 and 229,038,784

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Solution

The third proportional to 104,262,848 and 229,038,784 is: 503,139,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,262,848 : 229,038,784 = 229,038,784 : x
  2. Step 2: Convert to fraction form
    104,262,848/229,038,784 = 229,038,784/x
  3. Step 3: Cross multiply
    104,262,848x = 229,038,784 × 229,038,784
  4. Step 4: Simplify right side
    104,262,848x = 52,458,764,576,198,656
  5. Step 5: Solve for x
    x = 52,458,764,576,198,656/104,262,848
  6. Step 6: Final answer
    x = 503,139,570.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.