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Finding the Third Proportional to 213,277,043,898 and 458,651,549,556

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Solution

The third proportional to 213,277,043,898 and 458,651,549,556 is: 986,328,580,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,277,043,898 : 458,651,549,556 = 458,651,549,556 : x
  2. Step 2: Convert to fraction form
    213,277,043,898/458,651,549,556 = 458,651,549,556/x
  3. Step 3: Cross multiply
    213,277,043,898x = 458,651,549,556 × 458,651,549,556
  4. Step 4: Simplify right side
    213,277,043,898x = 210,361,243,910,119,916,306,432
  5. Step 5: Solve for x
    x = 210,361,243,910,119,916,306,432/213,277,043,898
  6. Step 6: Final answer
    x = 986,328,580,260.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.