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Finding the Third Proportional to 237,375,468 and 500,256,216

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Solution

The third proportional to 237,375,468 and 500,256,216 is: 1,054,263,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,375,468 : 500,256,216 = 500,256,216 : x
  2. Step 2: Convert to fraction form
    237,375,468/500,256,216 = 500,256,216/x
  3. Step 3: Cross multiply
    237,375,468x = 500,256,216 × 500,256,216
  4. Step 4: Simplify right side
    237,375,468x = 250,256,281,646,638,656
  5. Step 5: Solve for x
    x = 250,256,281,646,638,656/237,375,468
  6. Step 6: Final answer
    x = 1,054,263,457.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.