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Finding the Third Proportional to 98,817,609 and 214,646,113.50

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Solution

The third proportional to 98,817,609 and 214,646,113.50 is: 466,242,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,817,609 : 214,646,113.50 = 214,646,113.50 : x
  2. Step 2: Convert to fraction form
    98,817,609/214,646,113.50 = 214,646,113.50/x
  3. Step 3: Cross multiply
    98,817,609x = 214,646,113.50 × 214,646,113.50
  4. Step 4: Simplify right side
    98,817,609x = 46,072,954,040,654,880
  5. Step 5: Solve for x
    x = 46,072,954,040,654,880/98,817,609
  6. Step 6: Final answer
    x = 466,242,347.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.