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Finding the Third Proportional to 191,008,030 and 412,514,396

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Solution

The third proportional to 191,008,030 and 412,514,396 is: 890,895,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,008,030 : 412,514,396 = 412,514,396 : x
  2. Step 2: Convert to fraction form
    191,008,030/412,514,396 = 412,514,396/x
  3. Step 3: Cross multiply
    191,008,030x = 412,514,396 × 412,514,396
  4. Step 4: Simplify right side
    191,008,030x = 170,168,126,907,244,800
  5. Step 5: Solve for x
    x = 170,168,126,907,244,800/191,008,030
  6. Step 6: Final answer
    x = 890,895,146.70

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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.