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Finding the Third Proportional to 53,444,142 and 117,102,636

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Solution

The third proportional to 53,444,142 and 117,102,636 is: 256,586,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,444,142 : 117,102,636 = 117,102,636 : x
  2. Step 2: Convert to fraction form
    53,444,142/117,102,636 = 117,102,636/x
  3. Step 3: Cross multiply
    53,444,142x = 117,102,636 × 117,102,636
  4. Step 4: Simplify right side
    53,444,142x = 13,713,027,358,148,496
  5. Step 5: Solve for x
    x = 13,713,027,358,148,496/53,444,142
  6. Step 6: Final answer
    x = 256,586,163.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.