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Finding the Third Proportional to 292,553,668 and 401,162,157

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Solution

The third proportional to 292,553,668 and 401,162,157 is: 550,090,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,553,668 : 401,162,157 = 401,162,157 : x
  2. Step 2: Convert to fraction form
    292,553,668/401,162,157 = 401,162,157/x
  3. Step 3: Cross multiply
    292,553,668x = 401,162,157 × 401,162,157
  4. Step 4: Simplify right side
    292,553,668x = 160,931,076,208,892,640
  5. Step 5: Solve for x
    x = 160,931,076,208,892,640/292,553,668
  6. Step 6: Final answer
    x = 550,090,782.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.