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Finding the Third Proportional to 48,893,545 and 103,616,334

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Solution

The third proportional to 48,893,545 and 103,616,334 is: 219,586,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,545 : 103,616,334 = 103,616,334 : x
  2. Step 2: Convert to fraction form
    48,893,545/103,616,334 = 103,616,334/x
  3. Step 3: Cross multiply
    48,893,545x = 103,616,334 × 103,616,334
  4. Step 4: Simplify right side
    48,893,545x = 10,736,344,671,599,556
  5. Step 5: Solve for x
    x = 10,736,344,671,599,556/48,893,545
  6. Step 6: Final answer
    x = 219,586,137.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.