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Finding the Third Proportional to 188,746,511.75 and 410,164,289

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Solution

The third proportional to 188,746,511.75 and 410,164,289 is: 891,326,374.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,746,511.75 : 410,164,289 = 410,164,289 : x
  2. Step 2: Convert to fraction form
    188,746,511.75/410,164,289 = 410,164,289/x
  3. Step 3: Cross multiply
    188,746,511.75x = 410,164,289 × 410,164,289
  4. Step 4: Simplify right side
    188,746,511.75x = 168,234,743,970,875,520
  5. Step 5: Solve for x
    x = 168,234,743,970,875,520/188,746,511.75
  6. Step 6: Final answer
    x = 891,326,374.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.