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Finding the Third Proportional to 141,721,121 and 202,661,445

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Solution

The third proportional to 141,721,121 and 202,661,445 is: 289,806,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,721,121 : 202,661,445 = 202,661,445 : x
  2. Step 2: Convert to fraction form
    141,721,121/202,661,445 = 202,661,445/x
  3. Step 3: Cross multiply
    141,721,121x = 202,661,445 × 202,661,445
  4. Step 4: Simplify right side
    141,721,121x = 41,071,661,289,488,024
  5. Step 5: Solve for x
    x = 41,071,661,289,488,024/141,721,121
  6. Step 6: Final answer
    x = 289,806,212.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.