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Finding the Third Proportional to 98,959 and 207,637.75

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Solution

The third proportional to 98,959 and 207,637.75 is: 435,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,959 : 207,637.75 = 207,637.75 : x
  2. Step 2: Convert to fraction form
    98,959/207,637.75 = 207,637.75/x
  3. Step 3: Cross multiply
    98,959x = 207,637.75 × 207,637.75
  4. Step 4: Simplify right side
    98,959x = 43,113,435,225.06
  5. Step 5: Solve for x
    x = 43,113,435,225.06/98,959
  6. Step 6: Final answer
    x = 435,669.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.