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Finding the Third Proportional to 191,008,032 and 412,514,400

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Solution

The third proportional to 191,008,032 and 412,514,400 is: 890,895,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,008,032 : 412,514,400 = 412,514,400 : x
  2. Step 2: Convert to fraction form
    191,008,032/412,514,400 = 412,514,400/x
  3. Step 3: Cross multiply
    191,008,032x = 412,514,400 × 412,514,400
  4. Step 4: Simplify right side
    191,008,032x = 170,168,130,207,360,000
  5. Step 5: Solve for x
    x = 170,168,130,207,360,000/191,008,032
  6. Step 6: Final answer
    x = 890,895,154.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.