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Finding the Third Proportional to 98,262,138 and 210,327,770

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Solution

The third proportional to 98,262,138 and 210,327,770 is: 450,201,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,262,138 : 210,327,770 = 210,327,770 : x
  2. Step 2: Convert to fraction form
    98,262,138/210,327,770 = 210,327,770/x
  3. Step 3: Cross multiply
    98,262,138x = 210,327,770 × 210,327,770
  4. Step 4: Simplify right side
    98,262,138x = 44,237,770,833,172,896
  5. Step 5: Solve for x
    x = 44,237,770,833,172,896/98,262,138
  6. Step 6: Final answer
    x = 450,201,590.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.