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Finding the Third Proportional to 48,125,768 and 100,217,488

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Solution

The third proportional to 48,125,768 and 100,217,488 is: 208,693,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,125,768 : 100,217,488 = 100,217,488 : x
  2. Step 2: Convert to fraction form
    48,125,768/100,217,488 = 100,217,488/x
  3. Step 3: Cross multiply
    48,125,768x = 100,217,488 × 100,217,488
  4. Step 4: Simplify right side
    48,125,768x = 10,043,544,901,030,144
  5. Step 5: Solve for x
    x = 10,043,544,901,030,144/48,125,768
  6. Step 6: Final answer
    x = 208,693,706.48

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.