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Finding the Third Proportional to 283,621,097 and 616,935,208

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Solution

The third proportional to 283,621,097 and 616,935,208 is: 1,341,963,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,621,097 : 616,935,208 = 616,935,208 : x
  2. Step 2: Convert to fraction form
    283,621,097/616,935,208 = 616,935,208/x
  3. Step 3: Cross multiply
    283,621,097x = 616,935,208 × 616,935,208
  4. Step 4: Simplify right side
    283,621,097x = 380,609,050,870,003,264
  5. Step 5: Solve for x
    x = 380,609,050,870,003,264/283,621,097
  6. Step 6: Final answer
    x = 1,341,963,115.21

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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.