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Finding the Third Proportional to 53,240,598 and 114,551,226

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Solution

The third proportional to 53,240,598 and 114,551,226 is: 246,465,739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,240,598 : 114,551,226 = 114,551,226 : x
  2. Step 2: Convert to fraction form
    53,240,598/114,551,226 = 114,551,226/x
  3. Step 3: Cross multiply
    53,240,598x = 114,551,226 × 114,551,226
  4. Step 4: Simplify right side
    53,240,598x = 13,121,983,378,103,076
  5. Step 5: Solve for x
    x = 13,121,983,378,103,076/53,240,598
  6. Step 6: Final answer
    x = 246,465,739.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.