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Finding the Third Proportional to 188,842,300 and 406,382,409

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Solution

The third proportional to 188,842,300 and 406,382,409 is: 874,521,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,842,300 : 406,382,409 = 406,382,409 : x
  2. Step 2: Convert to fraction form
    188,842,300/406,382,409 = 406,382,409/x
  3. Step 3: Cross multiply
    188,842,300x = 406,382,409 × 406,382,409
  4. Step 4: Simplify right side
    188,842,300x = 165,146,662,344,643,296
  5. Step 5: Solve for x
    x = 165,146,662,344,643,296/188,842,300
  6. Step 6: Final answer
    x = 874,521,557.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.