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Finding the Third Proportional to 53,663,148 and 115,823,544

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Solution

The third proportional to 53,663,148 and 115,823,544 is: 249,987,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,663,148 : 115,823,544 = 115,823,544 : x
  2. Step 2: Convert to fraction form
    53,663,148/115,823,544 = 115,823,544/x
  3. Step 3: Cross multiply
    53,663,148x = 115,823,544 × 115,823,544
  4. Step 4: Simplify right side
    53,663,148x = 13,415,093,344,719,936
  5. Step 5: Solve for x
    x = 13,415,093,344,719,936/53,663,148
  6. Step 6: Final answer
    x = 249,987,073.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.