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Finding the Third Proportional to 188,301,768 and 406,329,168

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Solution

The third proportional to 188,301,768 and 406,329,168 is: 876,802,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,301,768 : 406,329,168 = 406,329,168 : x
  2. Step 2: Convert to fraction form
    188,301,768/406,329,168 = 406,329,168/x
  3. Step 3: Cross multiply
    188,301,768x = 406,329,168 × 406,329,168
  4. Step 4: Simplify right side
    188,301,768x = 165,103,392,767,572,224
  5. Step 5: Solve for x
    x = 165,103,392,767,572,224/188,301,768
  6. Step 6: Final answer
    x = 876,802,137.98

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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.