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Finding the Third Proportional to 214,979,527 and 470,196,827

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Solution

The third proportional to 214,979,527 and 470,196,827 is: 1,028,400,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,979,527 : 470,196,827 = 470,196,827 : x
  2. Step 2: Convert to fraction form
    214,979,527/470,196,827 = 470,196,827/x
  3. Step 3: Cross multiply
    214,979,527x = 470,196,827 × 470,196,827
  4. Step 4: Simplify right side
    214,979,527x = 221,085,056,120,867,936
  5. Step 5: Solve for x
    x = 221,085,056,120,867,936/214,979,527
  6. Step 6: Final answer
    x = 1,028,400,514.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.