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Finding the Third Proportional to 205,747,030 and 313,444,066

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Solution

The third proportional to 205,747,030 and 313,444,066 is: 477,514,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,747,030 : 313,444,066 = 313,444,066 : x
  2. Step 2: Convert to fraction form
    205,747,030/313,444,066 = 313,444,066/x
  3. Step 3: Cross multiply
    205,747,030x = 313,444,066 × 313,444,066
  4. Step 4: Simplify right side
    205,747,030x = 98,247,182,510,612,352
  5. Step 5: Solve for x
    x = 98,247,182,510,612,352/205,747,030
  6. Step 6: Final answer
    x = 477,514,462.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.