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Finding the Third Proportional to 71,624,148 and 153,458,816

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Solution

The third proportional to 71,624,148 and 153,458,816 is: 328,794,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,624,148 : 153,458,816 = 153,458,816 : x
  2. Step 2: Convert to fraction form
    71,624,148/153,458,816 = 153,458,816/x
  3. Step 3: Cross multiply
    71,624,148x = 153,458,816 × 153,458,816
  4. Step 4: Simplify right side
    71,624,148x = 23,549,608,208,121,856
  5. Step 5: Solve for x
    x = 23,549,608,208,121,856/71,624,148
  6. Step 6: Final answer
    x = 328,794,252.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.