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Finding the Third Proportional to 188,746,502.91 and 410,164,271.44

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Solution

The third proportional to 188,746,502.91 and 410,164,271.44 is: 891,326,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,746,502.91 : 410,164,271.44 = 410,164,271.44 : x
  2. Step 2: Convert to fraction form
    188,746,502.91/410,164,271.44 = 410,164,271.44/x
  3. Step 3: Cross multiply
    188,746,502.91x = 410,164,271.44 × 410,164,271.44
  4. Step 4: Simplify right side
    188,746,502.91x = 168,234,729,563,855,168
  5. Step 5: Solve for x
    x = 168,234,729,563,855,168/188,746,502.91
  6. Step 6: Final answer
    x = 891,326,339.69

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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.