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Finding the Third Proportional to 122,442,514.50 and 266,407,566

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Solution

The third proportional to 122,442,514.50 and 266,407,566 is: 579,643,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,514.50 : 266,407,566 = 266,407,566 : x
  2. Step 2: Convert to fraction form
    122,442,514.50/266,407,566 = 266,407,566/x
  3. Step 3: Cross multiply
    122,442,514.50x = 266,407,566 × 266,407,566
  4. Step 4: Simplify right side
    122,442,514.50x = 70,972,991,222,044,352
  5. Step 5: Solve for x
    x = 70,972,991,222,044,352/122,442,514.50
  6. Step 6: Final answer
    x = 579,643,365.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.