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Finding the Third Proportional to 53,041,398 and 114,244,356

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Solution

The third proportional to 53,041,398 and 114,244,356 is: 246,067,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,041,398 : 114,244,356 = 114,244,356 : x
  2. Step 2: Convert to fraction form
    53,041,398/114,244,356 = 114,244,356/x
  3. Step 3: Cross multiply
    53,041,398x = 114,244,356 × 114,244,356
  4. Step 4: Simplify right side
    53,041,398x = 13,051,772,877,854,736
  5. Step 5: Solve for x
    x = 13,051,772,877,854,736/53,041,398
  6. Step 6: Final answer
    x = 246,067,663.56

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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.