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Finding the Third Proportional to 141,744,024 and 222,063,840

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Solution

The third proportional to 141,744,024 and 222,063,840 is: 347,897,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,744,024 : 222,063,840 = 222,063,840 : x
  2. Step 2: Convert to fraction form
    141,744,024/222,063,840 = 222,063,840/x
  3. Step 3: Cross multiply
    141,744,024x = 222,063,840 × 222,063,840
  4. Step 4: Simplify right side
    141,744,024x = 49,312,349,035,545,600
  5. Step 5: Solve for x
    x = 49,312,349,035,545,600/141,744,024
  6. Step 6: Final answer
    x = 347,897,199.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.